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20720406627864 = 23321936583414031
BaseRepresentation
bin1001011011000010110000…
…11110100000011000011000
32201100211222202122000012200
410231201120132200120120
510203440343044042424
6112022453504210200
74235666664230166
oct455413036403030
981324882560180
1020720406627864
1166695253a8239
1223a7906309960
13b73c0644a8b8
14518c31856236
1525deba72b8c9
hex12d8587a0618

20720406627864 has 96 divisors (see below), whose sum is σ = 59073092083200. Its totient is φ = 6543091638720.

The previous prime is 20720406627853. The next prime is 20720406627931. The reversal of 20720406627864 is 46872660402702.

20720406627864 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 0 + 4 + 0 + 6 + 627 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20720406627864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49838529 + ... + 50252559.

It is an arithmetic number, because the mean of its divisors is an integer number (615344709200).

Almost surely, 220720406627864 is an apocalyptic number.

20720406627864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20720406627864 is an abundant number, since it is smaller than the sum of its proper divisors (38352685455336).

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

20720406627864 is a wasteful number, since it uses less digits than its factorization.

20720406627864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450645 (or 450638 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 20720406627864 in words is "twenty trillion, seven hundred twenty billion, four hundred six million, six hundred twenty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 36583 73166 109749 146332 219498 292664 329247 414031 438996 658494 695077 828062 877992 1242093 1316988 1390154 1656124 2085231 2484186 2633976 2780308 3312248 3726279 4170462 4968372 5560616 6255693 7452558 7866589 8340924 9936744 12511386 14905116 15733178 16681848 23599767 25022772 29810232 31466356 47199534 50045544 62932712 70799301 94399068 141598602 188798136 283197204 566394408 15146496073 30292992146 45439488219 60585984292 90878976438 121171968584 136318464657 181757952876 272636929314 287783425387 363515905752 545273858628 575566850774 863350276161 1090547717256 1151133701548 1726700552322 2302267403096 2590050828483 3453401104644 5180101656966 6906802209288 10360203313932 20720406627864