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10061315936 = 2571914531627
BaseRepresentation
bin10010101111011001…
…10111111101100000
3221222012010210202222
421113230313331200
5131101144102221
64342212530212
7504220526420
oct112754677540
927865123688
1010061315936
1142a3394641
121b49620968
13c446083a9
146b6364480
153dd4709ab
hex257b37f60

10061315936 has 96 divisors (see below), whose sum is σ = 23860488960. Its totient is φ = 4079725056.

The previous prime is 10061315933. The next prime is 10061315947. The reversal of 10061315936 is 63951316001.

It is a junction number, because it is equal to n+sod(n) for n = 10061315896 and 10061315905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061315933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6183155 + ... + 6184781.

It is an arithmetic number, because the mean of its divisors is an integer number (248546760).

Almost surely, 210061315936 is an apocalyptic number.

10061315936 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 10061315936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11930244480).

10061315936 is an abundant number, since it is smaller than the sum of its proper divisors (13799173024).

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

10061315936 is a wasteful number, since it uses less digits than its factorization.

10061315936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The spelling of 10061315936 in words is "ten billion, sixty-one million, three hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 1453 1627 2128 2906 3254 4256 5812 6508 10171 11389 11624 13016 20342 22778 23248 26032 27607 30913 40684 45556 46496 52064 55214 61826 81368 91112 110428 123652 162736 182224 193249 216391 220856 247304 325472 364448 386498 432782 441712 494608 772996 865564 883424 989216 1545992 1731128 2364031 3091984 3462256 4728062 6183968 6924512 9456124 16548217 18912248 33096434 37824496 44916589 66192868 75648992 89833178 132385736 179666356 264771472 314416123 359332712 529542944 628832246 718665424 1257664492 1437330848 2515328984 5030657968 10061315936