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10236274896 = 2433131721701
BaseRepresentation
bin10011000100010000…
…10010100011010000
3222102101100122100110
421202020102203100
5131430441244041
64411422521320
7511443621021
oct114210224320
928371318313
1010236274896
114383123921
121b98136240
13c719358c3
146d16a8c48
153ed9d0516
hex2622128d0

10236274896 has 80 divisors (see below), whose sum is σ = 27384104448. Its totient is φ = 3291456000.

The previous prime is 10236274891. The next prime is 10236274931. The reversal of 10236274896 is 69847263201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10236274891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460846 + ... + 482546.

Almost surely, 210236274896 is an apocalyptic number.

10236274896 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 10236274896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692052224).

10236274896 is an abundant number, since it is smaller than the sum of its proper divisors (17147829552).

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

10236274896 is a wasteful number, since it uses less digits than its factorization.

10236274896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22060 (or 22054 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 10236274896 in words is "ten billion, two hundred thirty-six million, two hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 317 372 496 634 744 951 1268 1488 1902 2536 3804 5072 7608 9827 15216 19654 21701 29481 39308 43402 58962 65103 78616 86804 117924 130206 157232 173608 235848 260412 347216 471696 520824 672731 1041648 1345462 2018193 2690924 4036386 5381848 6879217 8072772 10763696 13758434 16145544 20637651 27516868 32291088 41275302 55033736 82550604 110067472 165101208 213255727 330202416 426511454 639767181 853022908 1279534362 1706045816 2559068724 3412091632 5118137448 10236274896