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10504749120 = 263512786161
BaseRepresentation
bin10011100100010000…
…11100000001000000
31000010002112112202020
421302020130001000
5133003203432440
64454213121440
7521213615505
oct116210340100
930102475666
1010504749120
114500725548
122052029280
13cb54460a8
147191d34ac
154173633d0
hex27221c040

10504749120 has 112 divisors (see below), whose sum is σ = 33615587328. Its totient is φ = 2779176960.

The previous prime is 10504749119. The next prime is 10504749131. The reversal of 10504749120 is 2194740501.

It is a happy number.

It is a super-2 number, since 2×105047491202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78840 + ... + 165000.

Almost surely, 210504749120 is an apocalyptic number.

10504749120 is a gapful number since it is divisible by the number (10) 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 10504749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16807793664).

10504749120 is an abundant number, since it is smaller than the sum of its proper divisors (23110838208).

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

10504749120 is a wasteful number, since it uses less digits than its factorization.

10504749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86308 (or 86298 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10504749120 in words is "ten billion, five hundred four million, seven hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 160 192 240 254 320 381 480 508 635 762 960 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 8128 10160 12192 15240 20320 24384 30480 40640 60960 86161 121920 172322 258483 344644 430805 516966 689288 861610 1033932 1292415 1378576 1723220 2067864 2584830 2757152 3446440 4135728 5169660 5514304 6892880 8271456 10339320 10942447 13785760 16542912 20678640 21884894 27571520 32827341 41357280 43769788 54712235 65654682 82714560 87539576 109424470 131309364 164136705 175079152 218848940 262618728 328273410 350158304 437697880 525237456 656546820 700316608 875395760 1050474912 1313093640 1750791520 2100949824 2626187280 3501583040 5252374560 10504749120