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20274008757912 = 23337131031441227
BaseRepresentation
bin1001001110000011010010…
…00101110001011010011000
32122210011202112021122002000
410213001221011301122120
510124132132220223122
6111041430120441000
74161514560026250
oct447015105613230
978704675248060
1020274008757912
116507182446478
1223352a4619160
13b40aa5417350
145013a5508960
152525908210ac
hex127069171698

20274008757912 has 128 divisors (see below), whose sum is σ = 69312850521600. Its totient is φ = 5346991315584.

The previous prime is 20274008757911. The next prime is 20274008757941. The reversal of 20274008757912 is 21975780047202.

20274008757912 is a `hidden beast` number, since 2 + 0 + 27 + 40 + 0 + 8 + 7 + 579 + 1 + 2 = 666.

It is a super-2 number, since 2×202740087579122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20274008757911) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 515700958 + ... + 515740269.

It is an arithmetic number, because the mean of its divisors is an integer number (541506644700).

Almost surely, 220274008757912 is an apocalyptic number.

It is an amenable number.

20274008757912 is an abundant number, since it is smaller than the sum of its proper divisors (49038841763688).

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

20274008757912 is a wasteful number, since it uses less digits than its factorization.

20274008757912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031441262 (or 1031441252 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 20274008757912 in words is "twenty trillion, two hundred seventy-four billion, eight million, seven hundred fifty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 1031441227 2062882454 3094323681 4125764908 6188647362 7220088589 8251529816 9282971043 12377294724 13408735951 14440177178 18565942086 21660265767 24754589448 26817471902 27848913129 28880354356 37131884172 40226207853 43320531534 53634943804 55697826258 57760708712 64980797301 74263768344 80452415706 86641063068 93861151657 107269887608 111395652516 120678623559 129961594602 160904831412 173282126136 187722303314 194942391903 222791305032 241357247118 259923189204 281583454971 321809662824 362035870677 375444606628 389884783806 482714494236 519846378408 563166909942 724071741354 750889213256 779769567612 844750364913 965428988472 1126333819884 1448143482708 1559539135224 1689500729826 2252667639768 2534251094739 2896286965416 3379001459652 5068502189478 6758002919304 10137004378956 20274008757912