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20135907936 = 253437209959
BaseRepresentation
bin10010110000001100…
…011001001001100000
31220222022021002220000
4102300030121021200
5312214243023221
613130022220000
71311662251644
oct226014311140
956868232800
1020135907936
1185a3216731
123a9b584600
131b8b8b1531
14d90382c24
157ccb64e26
hex4b0319260

20135907936 has 120 divisors (see below), whose sum is σ = 60819953040. Its totient is φ = 6530533632.

The previous prime is 20135907919. The next prime is 20135907943. The reversal of 20135907936 is 63970953102.

20135907936 is a `hidden beast` number, since 20 + 1 + 3 + 590 + 7 + 9 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20135907891 and 20135907900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9076 + ... + 200883.

It is an arithmetic number, because the mean of its divisors is an integer number (506832942).

Almost surely, 220135907936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20135907936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30409976520).

20135907936 is an abundant number, since it is smaller than the sum of its proper divisors (40684045104).

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

20135907936 is a wasteful number, since it uses less digits than its factorization.

20135907936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210018 (or 210001 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 20135907936 in words is "twenty billion, one hundred thirty-five million, nine hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1776 1998 2592 2664 2997 3552 3996 5328 5994 7992 10656 11988 15984 23976 31968 47952 95904 209959 419918 629877 839836 1259754 1679672 1889631 2519508 3359344 3779262 5039016 5668893 6718688 7558524 7768483 10078032 11337786 15117048 15536966 17006679 20156064 22675572 23305449 30234096 31073932 34013358 45351144 46610898 60468192 62147864 68026716 69916347 90702288 93221796 124295728 136053432 139832694 181404576 186443592 209749041 248591456 272106864 279665388 372887184 419498082 544213728 559330776 629247123 745774368 838996164 1118661552 1258494246 1677992328 2237323104 2516988492 3355984656 5033976984 6711969312 10067953968 20135907936