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20932216832 = 2112321392
BaseRepresentation
bin10011011111101010…
…000100100000000000
32000000210122210100002
4103133222010200000
5320332121414312
613341030015132
71340501623142
oct233752044000
960023583302
1020932216832
11897176635a
1240821a74a8
131c87871327
14102802ac92
15827a0d4c2
hex4dfa84800

20932216832 has 108 divisors (see below), whose sum is σ = 44070115635. Its totient is φ = 9939038208.

The previous prime is 20932216819. The next prime is 20932216847. The reversal of 20932216832 is 23861223902.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 10466108416 + 10466108416 = 102304^2 + 102304^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=102304.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150591419 + ... + 150591557.

Almost surely, 220932216832 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 20932216832

20932216832 is an abundant number, since it is smaller than the sum of its proper divisors (23137898803).

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

20932216832 is an frugal number, since it uses more digits than its factorization.

20932216832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 20932216832 in words is "twenty billion, nine hundred thirty-two million, two hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 139 184 256 278 368 512 529 556 736 1024 1058 1112 1472 2048 2116 2224 2944 3197 4232 4448 5888 6394 8464 8896 11776 12788 16928 17792 19321 23552 25576 33856 35584 38642 47104 51152 67712 71168 73531 77284 102304 135424 142336 147062 154568 204608 270848 284672 294124 309136 409216 444383 541696 588248 618272 818432 888766 1083392 1176496 1236544 1636864 1777532 2352992 2473088 3273728 3555064 4705984 4946176 6547456 7110128 9411968 9892352 10220809 14220256 18823936 19784704 20441618 28440512 37647872 39569408 40883236 56881024 75295744 81766472 113762048 150591488 163532944 227524096 327065888 455048192 654131776 910096384 1308263552 2616527104 5233054208 10466108416 20932216832