Search a number
-
+
21619655886132 = 223231159917231871
BaseRepresentation
bin1001110101001101101111…
…11010001100010100110100
32211112211002222202110101200
410322212313322030110310
510313204023401324012
6113551533252452500
74360653140632263
oct472466772142464
984484088673350
1021619655886132
116985932140717
12251204b01a130
13c0a95650c715
1454a57b2565da
1527759bdb13dc
hex13a9b7e8c534

21619655886132 has 144 divisors (see below), whose sum is σ = 54978177945600. Its totient is φ = 7163394638400.

The previous prime is 21619655886131. The next prime is 21619655886137. The reversal of 21619655886132 is 23168855691612.

21619655886132 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 9 + 6 + 5 + 5 + 8 + 8 + 613 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21619655886132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21619655886131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11555133157 + ... + 11555135027.

It is an arithmetic number, because the mean of its divisors is an integer number (381792902400).

Almost surely, 221619655886132 is an apocalyptic number.

It is an amenable number.

21619655886132 is an abundant number, since it is smaller than the sum of its proper divisors (33358522059468).

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

21619655886132 is a wasteful number, since it uses less digits than its factorization.

21619655886132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514 (or 4509 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 21619655886132 in words is "twenty-one trillion, six hundred nineteen billion, six hundred fifty-five million, eight hundred eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 311 599 622 933 1198 1244 1723 1797 1866 1871 2396 2799 3446 3594 3732 3742 5169 5391 5598 5613 6892 7188 7484 10338 10782 11196 11226 15507 16839 20676 21564 22452 31014 33678 62028 67356 186289 372578 535853 558867 581881 745156 1032077 1071706 1117734 1120729 1163762 1607559 1676601 1745643 2064154 2143412 2235468 2241458 2327524 3096231 3215118 3223733 3353202 3362187 3491286 4128308 4482916 4822677 5236929 6192462 6430236 6447466 6706404 6724374 6982572 9288693 9645354 9671199 10086561 10473858 12384924 12894932 13448748 18577386 19290708 19342398 20173122 20947716 29013597 37154772 38684796 40346244 58027194 116054388 320975947 348546719 641951894 697093438 962927841 1002580963 1045640157 1283903788 1394186876 1925855682 1931016067 2005161926 2091280314 2888783523 3007742889 3136920471 3851711364 3862032134 4010323852 4182560628 5777567046 5793048201 6015485778 6273840942 7724064268 9023228667 11555134092 11586096402 12030971556 12547681884 17379144603 18046457334 23172192804 34758289206 36092914668 69516578412 600545996837 1201091993674 1801637990511 2402183987348 3603275981022 5404913971533 7206551962044 10809827943066 21619655886132