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20188810451936 = 2571737143288741
BaseRepresentation
bin1001001011100100100101…
…11000000001101111100000
32122111000211220122020212002
410211302102320001233200
510121233140433430221
6110534340025223132
74152410354256530
oct445622270015740
978430756566762
1020188810451936
1164840321a7155
122320887931aa8
13b35a48340749
144db20220b4c0
15250255cc880b
hex125c92e01be0

20188810451936 has 96 divisors (see below), whose sum is σ = 49396787762112. Its totient is φ = 7923294167040.

The previous prime is 20188810451921. The next prime is 20188810451969. The reversal of 20188810451936 is 63915401888102.

It is a super-2 number, since 2×201888104519362 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71503475 + ... + 71785266.

It is an arithmetic number, because the mean of its divisors is an integer number (514549872522).

Almost surely, 220188810451936 is an apocalyptic number.

It is an amenable number.

20188810451936 is an abundant number, since it is smaller than the sum of its proper divisors (29207977310176).

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

20188810451936 is a wasteful number, since it uses less digits than its factorization.

20188810451936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143288812 (or 143288804 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 56.

The spelling of 20188810451936 in words is "twenty trillion, one hundred eighty-eight billion, eight hundred ten million, four hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 68 74 112 119 136 148 224 238 259 272 296 476 518 544 592 629 952 1036 1184 1258 1904 2072 2516 3808 4144 4403 5032 8288 8806 10064 17612 20128 35224 70448 140896 143288741 286577482 573154964 1003021187 1146309928 2006042374 2292619856 2435908597 4012084748 4585239712 4871817194 5301683417 8024169496 9743634388 10603366834 16048338992 17051360179 19487268776 21206733668 32096677984 34102720358 37111783919 38974537552 42413467336 68205440716 74223567838 77949075104 84826934672 90128618089 136410881432 148447135676 169653869344 180257236178 272821762864 296894271352 360514472356 545643525728 593788542704 630900326623 721028944712 1187577085408 1261800653246 1442057889424 2523601306492 2884115778848 5047202612984 10094405225968 20188810451936