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32216452056 = 2338679161
BaseRepresentation
bin11110000000010000…
…000000101111011000
310002011012221100000000
4132000100000233120
51011434402431211
622444450213000
72220232216125
oct360020005730
9102135840000
1032216452056
1112732390298
1262b1284160
133065636ca9
1417b896974c
15c884e5656
hex780400bd8

32216452056 has 144 divisors (see below), whose sum is σ = 91966506840. Its totient is φ = 10577381760.

The previous prime is 32216452039. The next prime is 32216452091. The reversal of 32216452056 is 65025461223.

32216452056 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 645 + 2 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32216452056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3512116 + ... + 3521276.

Almost surely, 232216452056 is an apocalyptic number.

32216452056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32216452056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45983253420).

32216452056 is an abundant number, since it is smaller than the sum of its proper divisors (59750054784).

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

32216452056 is an frugal number, since it uses more digits than its factorization.

32216452056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 32216452056 in words is "thirty-two billion, two hundred sixteen million, four hundred fifty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 243 268 324 402 486 536 603 648 729 804 972 1206 1458 1608 1809 1944 2187 2412 2916 3618 4374 4824 5427 5832 6561 7236 8748 9161 10854 13122 14472 16281 17496 18322 21708 26244 27483 32562 36644 43416 48843 52488 54966 65124 73288 82449 97686 109932 130248 146529 164898 195372 219864 247347 293058 329796 390744 439587 494694 586116 613787 659592 742041 879174 989388 1172232 1227574 1484082 1758348 1841361 1978776 2226123 2455148 2968164 3516696 3682722 4452246 4910296 5524083 5936328 6678369 7365444 8904492 11048166 13356738 14730888 16572249 17808984 20035107 22096332 26713476 33144498 40070214 44192664 49716747 53426952 60105321 66288996 80140428 99433494 120210642 132577992 149150241 160280856 198866988 240421284 298300482 397733976 447450723 480842568 596600964 894901446 1193201928 1342352169 1789802892 2684704338 3579605784 4027056507 5369408676 8054113014 10738817352 16108226028 32216452056