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10050837221952 = 263264279271463
BaseRepresentation
bin1001001001000010010010…
…0101010001001001000000
31022120211222010102201001200
42102100210211101021000
52304133103312100302
633213142455101200
72055102054531342
oct222204445211100
938524863381050
1010050837221952
11322559965033a
121163b05071800
1357ba364b1347
1426a66ab17292
151266a306381c
hex92424951240

10050837221952 has 84 divisors (see below), whose sum is σ = 28809464473920. Its totient is φ = 3350214611712.

The previous prime is 10050837221903. The next prime is 10050837221959. The reversal of 10050837221952 is 25912273805001.

10050837221952 is a `hidden beast` number, since 1 + 0 + 0 + 508 + 3 + 72 + 21 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10050837221898 and 10050837221907.

It is not an unprimeable number, because it can be changed into a prime (10050837221959) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 36888973 + ... + 37160435.

Almost surely, 210050837221952 is an apocalyptic number.

10050837221952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10050837221952 is an abundant number, since it is smaller than the sum of its proper divisors (18758627251968).

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

10050837221952 is a wasteful number, since it uses less digits than its factorization.

10050837221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335760 (or 335747 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10050837221952 in words is "ten trillion, fifty billion, eight hundred thirty-seven million, two hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 64279 128558 192837 257116 271463 385674 514232 542926 578511 771348 814389 1028464 1085852 1157022 1542696 1628778 2056928 2171704 2314044 2443167 3085392 3257556 4113856 4343408 4628088 4886334 6170784 6515112 8686816 9256176 9772668 12341568 13030224 17373632 18512352 19545336 26060448 37024704 39090672 52120896 78181344 156362688 17449370177 34898740354 52348110531 69797480708 104696221062 139594961416 157044331593 209392442124 279189922832 314088663186 418784884248 558379845664 628177326372 837569768496 1116759691328 1256354652744 1675139536992 2512709305488 3350279073984 5025418610976 10050837221952