Search a number
-
+
20757532032 = 2732171059923
BaseRepresentation
bin10011010101001111…
…101100110110000000
31222120121221212211200
4103111033230312000
5320002412011112
613311425541200
71333251053046
oct232517546600
958517855750
1020757532032
1188920a4056
1240337a4800
131c5a60b843
14100cb58396
15817504cdc
hex4d53ecd80

20757532032 has 96 divisors (see below), whose sum is σ = 63245665080. Its totient is φ = 6512160768.

The previous prime is 20757532027. The next prime is 20757532063. The reversal of 20757532032 is 23023575702.

20757532032 is a `hidden beast` number, since 20 + 7 + 575 + 32 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510378 + ... + 549545.

Almost surely, 220757532032 is an apocalyptic number.

It is an amenable number.

20757532032 is an abundant number, since it is smaller than the sum of its proper divisors (42488133048).

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

20757532032 is a wasteful number, since it uses less digits than its factorization.

20757532032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059960 (or 1059945 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The spelling of 20757532032 in words is "twenty billion, seven hundred fifty-seven million, five hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 1059923 2119846 3179769 4239692 6359538 8479384 9539307 12719076 16958768 18018691 19078614 25438152 33917536 36037382 38157228 50876304 54056073 67835072 72074764 76314456 101752608 108112146 135670144 144149528 152628912 162168219 203505216 216224292 288299056 305257824 324336438 407010432 432448584 576598112 610515648 648672876 864897168 1153196224 1221031296 1297345752 1729794336 2306392448 2594691504 3459588672 5189383008 6919177344 10378766016 20757532032