Search a number
-
+
20655506232 = 23324715140423
BaseRepresentation
bin10011001111001010…
…100000001100111000
31222022111222102202100
4103033022200030320
5314300302144412
613253343103400
71330601622534
oct231712401470
958274872670
1020655506232
11883a549609
1240055a1b60
131c42438c4a
14ddd39abc4
1580d59eedc
hex4cf2a0338

20655506232 has 96 divisors (see below), whose sum is σ = 57512033280. Its totient is φ = 6693883200.

The previous prime is 20655506219. The next prime is 20655506281. The reversal of 20655506232 is 23260555602.

20655506232 is a `hidden beast` number, since 20 + 6 + 5 + 5 + 5 + 0 + 623 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490773 + ... + 531195.

It is an arithmetic number, because the mean of its divisors is an integer number (599083680).

Almost surely, 220655506232 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 20655506232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28756016640).

20655506232 is an abundant number, since it is smaller than the sum of its proper divisors (36856527048).

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

20655506232 is a wasteful number, since it uses less digits than its factorization.

20655506232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40633 (or 40626 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 20655506232 in words is "twenty billion, six hundred fifty-five million, five hundred six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 151 188 282 302 376 423 453 564 604 846 906 1128 1208 1359 1692 1812 2718 3384 3624 5436 7097 10872 14194 21291 28388 40423 42582 56776 63873 80846 85164 121269 127746 161692 170328 242538 255492 323384 363807 485076 510984 727614 970152 1455228 1899881 2910456 3799762 5699643 6103873 7599524 11399286 12207746 15199048 17098929 18311619 22798572 24415492 34197858 36623238 45597144 48830984 54934857 68395716 73246476 109869714 136791432 146492952 219739428 286882031 439478856 573764062 860646093 1147528124 1721292186 2295056248 2581938279 3442584372 5163876558 6885168744 10327753116 20655506232