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20271177072 = 2433197313761
BaseRepresentation
bin10010111000010000…
…011001110101110000
31221022201210111021000
4102320100121311300
5313003410131242
613151253402000
71315224106416
oct227020316560
957281714230
1020271177072
118662607403
123b18939300
131bb0923443
14da43152b6
157d9984a4c
hex4b8419d70

20271177072 has 160 divisors (see below), whose sum is σ = 58745079360. Its totient is φ = 6692474880.

The previous prime is 20271177053. The next prime is 20271177131. The reversal of 20271177072 is 27077117202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26637172 + ... + 26637932.

It is an arithmetic number, because the mean of its divisors is an integer number (367156746).

Almost surely, 220271177072 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 20271177072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29372539680).

20271177072 is an abundant number, since it is smaller than the sum of its proper divisors (38473902288).

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

20271177072 is a wasteful number, since it uses less digits than its factorization.

20271177072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The spelling of 20271177072 in words is "twenty billion, two hundred seventy-one million, one hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 197 216 313 394 432 591 626 761 788 939 1182 1252 1522 1576 1773 1878 2283 2364 2504 2817 3044 3152 3546 3756 4566 4728 5008 5319 5634 6088 6849 7092 7512 8451 9132 9456 10638 11268 12176 13698 14184 15024 16902 18264 20547 21276 22536 27396 28368 33804 36528 41094 42552 45072 54792 61661 67608 82188 85104 109584 123322 135216 149917 164376 184983 238193 246644 299834 328752 369966 449751 476386 493288 554949 599668 714579 739932 899502 952772 986576 1109898 1199336 1349253 1429158 1479864 1664847 1799004 1905544 2143737 2219796 2398672 2698506 2858316 2959728 3329694 3598008 3811088 4047759 4287474 4439592 5397012 5716632 6431211 6659388 7196016 8095518 8574948 8879184 10794024 11433264 12862422 13318776 16191036 17149896 21588048 25724844 26637552 32382072 34299792 46924021 51449688 64764144 93848042 102899376 140772063 187696084 281544126 375392168 422316189 563088252 750784336 844632378 1126176504 1266948567 1689264756 2252353008 2533897134 3378529512 5067794268 6757059024 10135588536 20271177072