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46225530732096 = 26322832892
BaseRepresentation
bin10101000001010101110000…
…10101101011111001000000
320001200010011201022211002100
422200222320111223321000
522024324341331411341
6242151414325350400
712510453513125202
oct1240527025537100
9201603151284070
1046225530732096
1113802157001611
125226998868400
131ca40834052a1
14b5b483008772
155526736d53b6
hex2a0ab856be40

46225530732096 has 63 divisors (see below), whose sum is σ = 132497605278961. Its totient is φ = 15408455852544.

The previous prime is 46225530732091. The next prime is 46225530732107. The reversal of 46225530732096 is 69023703552264.

The square root of 46225530732096 is 6798936.

It is a perfect power (a square), and thus also a powerful number.

46225530732096 is a `hidden beast` number, since 4 + 6 + 2 + 2 + 5 + 5 + 307 + 320 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7323864837696 + 38901665894400 = 2706264^2 + 6237120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46225530732091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 163032820 + ... + 163316108.

Almost surely, 246225530732096 is an apocalyptic number.

46225530732096 is the 6798936-th square number.

It is an amenable number.

46225530732096 is an abundant number, since it is smaller than the sum of its proper divisors (86272074546865).

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

46225530732096 is an frugal number, since it uses more digits than its factorization.

46225530732096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566596 (or 283294 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 46225530732096 in words is "forty-six trillion, two hundred twenty-five billion, five hundred thirty million, seven hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 283289 566578 849867 1133156 1699734 2266312 2549601 3399468 4532624 5099202 6798936 9065248 10198404 13597872 18130496 20396808 27195744 40793616 54391488 81587232 163174464 80252657521 160505315042 240757972563 321010630084 481515945126 642021260168 722273917689 963031890252 1284042520336 1444547835378 1926063780504 2568085040672 2889095670756 3852127561008 5136170081344 5778191341512 7704255122016 11556382683024 15408510244032 23112765366048 46225530732096