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513330444420 = 2235139517111903
BaseRepresentation
bin1110111100001001110…
…00001111100010000100
31211001222212210110020020
413132010320033202010
531402300043210140
61031453140535140
752041543532653
oct7360470174204
91731885713206
10513330444420
1118877a720712
12835a13b14b0
1339539b19901
141abb980919a
15d5460a96d0
hex7784e0f884

513330444420 has 96 divisors (see below), whose sum is σ = 1448067317760. Its totient is φ = 135865614720.

The previous prime is 513330444401. The next prime is 513330444421. The reversal of 513330444420 is 24444033315.

It is not an unprimeable number, because it can be changed into a prime (513330444421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43120189 + ... + 43132091.

It is an arithmetic number, because the mean of its divisors is an integer number (15084034560).

Almost surely, 2513330444420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513330444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724033658880).

513330444420 is an abundant number, since it is smaller than the sum of its proper divisors (934736873340).

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

513330444420 is a wasteful number, since it uses less digits than its factorization.

513330444420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17225 (or 17223 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 513330444420 its reverse (24444033315), we get a palindrome (537774477735).

The spelling of 513330444420 in words is "five hundred thirteen billion, three hundred thirty million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 5171 8340 10342 11903 15513 20684 23806 25855 31026 35709 47612 51710 59515 62052 71418 77565 103420 119030 142836 155130 178545 238060 310260 357090 714180 718769 1437538 1654517 2156307 2875076 3309034 3593845 4312614 4963551 6618068 7187690 8272585 8625228 9927102 10781535 14375380 16545170 19854204 21563070 24817755 33090340 43126140 49635510 61550413 99271020 123100826 184651239 246201652 307752065 369302478 615504130 738604956 923256195 1231008260 1846512390 3693024780 8555507407 17111014814 25666522221 34222029628 42777537035 51333044442 85555074070 102666088884 128332611105 171110148140 256665222210 513330444420