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10241376256 = 21631712
BaseRepresentation
bin10011000100110111…
…10000000000000000
3222102201221211002201
421202123300000000
5131433243020011
64412124122544
7511535155546
oct114233600000
928381854081
1010241376256
114385a98621
121b99996454
13c72a00867
146d2235d96
153ee18bcc1
hex2626f0000

10241376256 has 102 divisors (see below), whose sum is σ = 21445312736. Its totient is φ = 4885708800.

The previous prime is 10241376253. The next prime is 10241376289. The reversal of 10241376256 is 65267314201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241376251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144244701 + ... + 144244771.

Almost surely, 210241376256 is an apocalyptic number.

10241376256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10722656368).

10241376256 is an abundant number, since it is smaller than the sum of its proper divisors (11203936480).

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

10241376256 is an frugal number, since it uses more digits than its factorization.

10241376256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 10241376256 in words is "ten billion, two hundred forty-one million, three hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 512 568 992 1024 1136 1984 2048 2201 2272 3968 4096 4402 4544 5041 7936 8192 8804 9088 10082 15872 16384 17608 18176 20164 31744 32768 35216 36352 40328 63488 65536 70432 72704 80656 126976 140864 145408 156271 161312 253952 281728 290816 312542 322624 507904 563456 581632 625084 645248 1015808 1126912 1163264 1250168 1290496 2031616 2253824 2326528 2500336 2580992 4507648 4653056 5000672 5161984 9015296 10001344 10323968 18030592 20002688 20647936 36061184 40005376 41295872 72122368 80010752 82591744 144244736 160021504 165183488 320043008 330366976 640086016 1280172032 2560344064 5120688128 10241376256