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20976193152 = 273231587371
BaseRepresentation
bin10011100010010001…
…110100111010000000
32000010212102000111200
4103202101310322000
5320424401140102
613345240341200
71341544462035
oct234221647200
960125360450
1020976193152
118994572422
124094a74800
131c939caa15
14102dbd738c
1582b7e851c
hex4e2474e80

20976193152 has 96 divisors (see below), whose sum is σ = 62308421760. Its totient is φ = 6766502400.

The previous prime is 20976193141. The next prime is 20976193153. The reversal of 20976193152 is 25139167902.

It is a happy number.

20976193152 is a `hidden beast` number, since 20 + 9 + 7 + 619 + 3 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20976193098 and 20976193107.

It is not an unprimeable number, because it can be changed into a prime (20976193153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257974 + ... + 329397.

It is an arithmetic number, because the mean of its divisors is an integer number (649046060).

Almost surely, 220976193152 is an apocalyptic number.

It is an amenable number.

20976193152 is an abundant number, since it is smaller than the sum of its proper divisors (41332228608).

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

20976193152 is a wasteful number, since it uses less digits than its factorization.

20976193152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587422 (or 587407 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 20976193152 in words is "twenty billion, nine hundred seventy-six million, one hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 35712 587371 1174742 1762113 2349484 3524226 4698968 5286339 7048452 9397936 10572678 14096904 18208501 18795872 21145356 28193808 36417002 37591744 42290712 54625503 56387616 72834004 75183488 84581424 109251006 112775232 145668008 163876509 169162848 218502012 225550464 291336016 327753018 338325696 437004024 582672032 655506036 676651392 874008048 1165344064 1311012072 1748016096 2330688128 2622024144 3496032192 5244048288 6992064384 10488096576 20976193152