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20972908496032 = 2523731611124229
BaseRepresentation
bin1001100010011001000101…
…10000101100010010100000
32202020222202001102221020221
410301030202300230102200
510222110004033333112
6112334453211412424
74263146136546223
oct461144260542240
982228661387227
1020972908496032
1167566190a1029
122428834754114
13b9197694134c
145271466435ba
15265847edee07
hex131322c2c4a0

20972908496032 has 96 divisors (see below), whose sum is σ = 43680377018880. Its totient is φ = 9892094699520.

The previous prime is 20972908496027. The next prime is 20972908496093. The reversal of 20972908496032 is 23069480927902.

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, 865599694 + ... + 865623922.

It is an arithmetic number, because the mean of its divisors is an integer number (455003927280).

Almost surely, 220972908496032 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 20972908496032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840188509440).

20972908496032 is an abundant number, since it is smaller than the sum of its proper divisors (22707468522848).

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

20972908496032 is a wasteful number, since it uses less digits than its factorization.

20972908496032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40446 (or 40438 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 20972908496032 in words is "twenty trillion, nine hundred seventy-two billion, nine hundred eight million, four hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 73 92 146 184 292 368 584 736 1168 1679 2336 3358 6716 13432 16111 24229 26864 32222 48458 53728 64444 96916 128888 193832 257776 370553 387664 515552 557267 741106 775328 1114534 1176103 1482212 1768717 2229068 2352206 2964424 3537434 4458136 4704412 5928848 7074868 8916272 9408824 11857696 14149736 17832544 18817648 27050369 28299472 37635296 40680491 54100738 56598944 81360982 108201476 162721964 216402952 325443928 390353419 432805904 650887856 780706838 865611808 1301775712 1561413676 3122827352 6245654704 8978128637 12491309408 17956257274 28495799587 35912514548 56991599174 71825029096 113983198348 143650058192 227966396696 287300116384 455932793392 655403390501 911865586784 1310806781002 2621613562004 5243227124008 10486454248016 20972908496032