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20713812192 = 2532674012677
BaseRepresentation
bin10011010010101000…
…111011000011100000
31222110120200200111100
4103102220323003200
5314410213442232
613303224514400
71332210333003
oct232250730340
958416620440
1020713812192
11886a452757
12402101ba00
131c51541b08
14100701753a
1581376ac7c
hex4d2a3b0e0

20713812192 has 144 divisors (see below), whose sum is σ = 59955556752. Its totient is φ = 6782054400.

The previous prime is 20713812169. The next prime is 20713812193. The reversal of 20713812192 is 29121831702.

20713812192 is a `hidden beast` number, since 20 + 71 + 381 + 2 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20713812193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7736358 + ... + 7739034.

It is an arithmetic number, because the mean of its divisors is an integer number (416358033).

Almost surely, 220713812192 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 20713812192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29977778376).

20713812192 is an abundant number, since it is smaller than the sum of its proper divisors (39241744560).

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

20713812192 is a wasteful number, since it uses less digits than its factorization.

20713812192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 20713812192 in words is "twenty billion, seven hundred thirteen million, eight hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 401 402 536 603 802 804 1072 1203 1206 1604 1608 2144 2406 2412 2677 3208 3216 3609 4812 4824 5354 6416 6432 7218 8031 9624 9648 10708 12832 14436 16062 19248 19296 21416 24093 26867 28872 32124 38496 42832 48186 53734 57744 64248 80601 85664 96372 107468 115488 128496 161202 179359 192744 214936 241803 256992 322404 358718 385488 429872 483606 538077 644808 717436 770976 859744 967212 1073477 1076154 1289616 1434872 1614231 1934424 2146954 2152308 2579232 2869744 3220431 3228462 3868848 4293908 4304616 5739488 6440862 6456924 7737696 8587816 8609232 9661293 12881724 12913848 17175632 17218464 19322586 25763448 25827696 34351264 38645172 51526896 51655392 71922959 77290344 103053792 143845918 154580688 215768877 287691836 309161376 431537754 575383672 647306631 863075508 1150767344 1294613262 1726151016 2301534688 2589226524 3452302032 5178453048 6904604064 10356906096 20713812192