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10078955236 = 22727121012
BaseRepresentation
bin10010110001100000…
…01010011011100100
3222000102022222100101
421120300022123210
5131120203031421
64344042553444
7504523464100
oct113060123344
928012288311
1010078955236
114302342279
121b53508884
13c4817314c
146b8836900
153deca7191
hex258c0a6e4

10078955236 has 81 divisors (see below), whose sum is σ = 21019016361. Its totient is φ = 4216548000.

The previous prime is 10078955207. The next prime is 10078955239. The reversal of 10078955236 is 63255987001.

The square root of 10078955236 is 100394.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9683740836 + 395214400 = 98406^2 + 19880^2 .

It is not an unprimeable number, because it can be changed into a prime (10078955239) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99791586 + ... + 99791686.

Almost surely, 210078955236 is an apocalyptic number.

10078955236 is the 100394-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10078955236

10078955236 is an abundant number, since it is smaller than the sum of its proper divisors (10940061125).

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

10078955236 is an equidigital number, since it uses as much as digits as its factorization.

10078955236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

It can be divided in two parts, 100789 and 55236, that added together give a square (156025 = 3952).

The spelling of 10078955236 in words is "ten billion, seventy-eight million, nine hundred fifty-five thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 71 98 101 142 196 202 284 404 497 707 994 1414 1988 2828 3479 4949 5041 6958 7171 9898 10082 10201 13916 14342 19796 20164 20402 28684 35287 40804 50197 70574 71407 100394 141148 142814 200788 247009 285628 351379 494018 499849 509141 702758 724271 988036 999698 1018282 1405516 1448542 1999396 2036564 2897084 3563987 5069897 7127974 10139794 14255948 20279588 24947909 35489279 49895818 51423241 70978558 99791636 102846482 141957116 205692964 359962687 719925374 1439850748 2519738809 5039477618 10078955236