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10045013541352 = 2329537328573917
BaseRepresentation
bin1001001000101100100101…
…1101101100000111101000
31022120021221021011002010121
42102023021131230013220
52304034141431310402
633210340541253024
72054504541211606
oct222131135540750
938507837132117
1010045013541352
1132230802a8969
12116295a864174
1357b318acb0aa
1426a2774c4876
15126461b58837
hex922c976c1e8

10045013541352 has 128 divisors (see below), whose sum is σ = 20135603440800. Its totient is φ = 4689804607488.

The previous prime is 10045013541331. The next prime is 10045013541443. The reversal of 10045013541352 is 25314531054001.

It can be written as a sum of positive squares in 16 ways, for example, as 5259656039236 + 4785357502116 = 2293394^2 + 2187546^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564464098 + ... + 2564468014.

Almost surely, 210045013541352 is an apocalyptic number.

It is an amenable number.

10045013541352 is an abundant number, since it is smaller than the sum of its proper divisors (10090589899448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10045013541352 is a wasteful number, since it uses less digits than its factorization.

10045013541352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 10045013541352 its reverse (25314531054001), we get a palindrome (35359544595353).

The spelling of 10045013541352 in words is "ten trillion, forty-five billion, thirteen million, five hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 29 53 58 73 106 116 146 212 232 292 424 584 1537 2117 2857 3074 3869 3917 4234 5714 6148 7738 7834 8468 11428 12296 15476 15668 16936 22856 30952 31336 82853 112201 113593 151421 165706 207601 208561 224402 227186 285941 302842 331412 415202 417122 448804 454372 571882 605684 662824 830404 834244 897608 908744 1143764 1211368 1660808 1668488 2287528 4391209 6020429 6048269 8292289 8782418 11053733 11190869 12040858 12096538 15154873 16584578 17564836 22107466 22381738 24081716 24193076 30309746 33169156 35129672 44214932 44763476 48163432 48386152 60619492 66338312 88429864 89526952 121238984 320558257 324535201 439491317 593116057 641116514 649070402 816933437 878982634 1186232114 1282233028 1298140804 1633866874 1757965268 2372464228 2564466056 2596281608 3267733748 3515930536 4744928456 6535467496 17200365653 23691069673 34400731306 43297472161 47382139346 68801462612 86594944322 94764278692 137602925224 173189888644 189528557384 346379777288 1255626692669 2511253385338 5022506770676 10045013541352