Search a number
-
+
216071571672 = 233211972812553
BaseRepresentation
bin1100100100111011011…
…1101000100011011000
3202122201101210010011200
43021032313220203120
512020003310243142
6243132323354200
721416312025045
oct3111667504330
9678641703150
10216071571672
11836a9850940
1235a61b22960
13174b5b743b8
14a65a7641cc
1559493a664c
hex324ede88d8

216071571672 has 96 divisors (see below), whose sum is σ = 644974883280. Its totient is φ = 64801198080.

The previous prime is 216071571637. The next prime is 216071571707. The reversal of 216071571672 is 276175170612.

216071571672 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 7 + 1 + 571 + 6 + 72 = 666.

216071571672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216071571637) and next prime (216071571707).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329453 + ... + 1483100.

Almost surely, 2216071571672 is an apocalyptic number.

216071571672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216071571672 is an abundant number, since it is smaller than the sum of its proper divisors (428903311608).

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

216071571672 is a wasteful number, since it uses less digits than its factorization.

216071571672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812673 (or 2812666 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 216071571672 in words is "two hundred sixteen billion, seventy-one million, five hundred seventy-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 97 99 132 194 198 264 291 388 396 582 776 792 873 1067 1164 1746 2134 2328 3201 3492 4268 6402 6984 8536 9603 12804 19206 25608 38412 76824 2812553 5625106 8437659 11250212 16875318 22500424 25312977 30938083 33750636 50625954 61876166 67501272 92814249 101251908 123752332 185628498 202503816 247504664 272817641 278442747 371256996 545635282 556885494 742513992 818452923 1091270564 1113770988 1636905846 2182541128 2227541976 2455358769 3000994051 3273811692 4910717538 6001988102 6547623384 9002982153 9821435076 12003976204 18005964306 19642870152 24007952408 27008946459 36011928612 54017892918 72023857224 108035785836 216071571672