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20688588214960 = 2454155711324051
BaseRepresentation
bin1001011010000111011111…
…11100111001001010110000
32201020210212021200011021111
410231003233330321022300
510202430212040334320
6112000112313203104
74233462334205041
oct455035774711260
981223767604244
1020688588214960
116656a87773726
1223a1706400494
13b70c05419843
14517493b008c8
1525d25715da5a
hex12d0eff392b0

20688588214960 has 80 divisors (see below), whose sum is σ = 49362629776992. Its totient is φ = 8059099904000.

The previous prime is 20688588214937. The next prime is 20688588214981. The reversal of 20688588214960 is 6941288588602.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3835066 + ... + 7488985.

Almost surely, 220688588214960 is an apocalyptic number.

20688588214960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20688588214960 is an abundant number, since it is smaller than the sum of its proper divisors (28674041562032).

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

20688588214960 is a wasteful number, since it uses less digits than its factorization.

20688588214960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324662 (or 11324656 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 67.

The spelling of 20688588214960 in words is "twenty trillion, six hundred eighty-eight billion, five hundred eighty-eight million, two hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 557 656 820 1114 1640 2228 2785 3280 4456 5570 8912 11140 22280 22837 44560 45674 91348 114185 182696 228370 365392 456740 913480 1826960 11324051 22648102 45296204 56620255 90592408 113240510 181184816 226481020 452962040 464286091 905924080 928572182 1857144364 2321430455 3714288728 4642860910 6307496407 7428577456 9285721820 12614992814 18571443640 25229985628 31537482035 37142887280 50459971256 63074964070 100919942512 126149928140 252299856280 258607352687 504599712560 517214705374 1034429410748 1293036763435 2068858821496 2586073526870 4137717642992 5172147053740 10344294107480 20688588214960