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20672932176 = 24321383133051
BaseRepresentation
bin10011010000001100…
…111110100101010000
31222100201202202122200
4103100030332211100
5314314232312201
613255204403200
71331203011201
oct232014764520
958321682580
1020672932176
118849370a16
12400b3a6500
131c45c2a860
1410018155a8
1580ed93386
hex4d033e950

20672932176 has 120 divisors (see below), whose sum is σ = 63057068256. Its totient is φ = 6284217600.

The previous prime is 20672932157. The next prime is 20672932249. The reversal of 20672932176 is 67123927602.

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, 88851 + ... + 221901.

Almost surely, 220672932176 is an apocalyptic number.

20672932176 is a gapful number since it is divisible by the number (26) 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 20672932176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31528534128).

20672932176 is an abundant number, since it is smaller than the sum of its proper divisors (42384136080).

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

20672932176 is a wasteful number, since it uses less digits than its factorization.

20672932176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133161 (or 133152 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 20672932176 in words is "twenty billion, six hundred seventy-two million, nine hundred thirty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 83 104 117 144 156 166 208 234 249 312 332 468 498 624 664 747 936 996 1079 1328 1494 1872 1992 2158 2988 3237 3984 4316 5976 6474 8632 9711 11952 12948 17264 19422 25896 38844 51792 77688 133051 155376 266102 399153 532204 798306 1064408 1197459 1596612 1729663 2128816 2394918 3193224 3459326 4789836 5188989 6386448 6918652 9579672 10377978 11043233 13837304 15566967 19159344 20755956 22086466 27674608 31133934 33129699 41511912 44172932 62267868 66259398 83023824 88345864 99389097 124535736 132518796 143562029 176691728 198778194 249071472 265037592 287124058 397556388 430686087 530075184 574248116 795112776 861372174 1148496232 1292058261 1590225552 1722744348 2296992464 2584116522 3445488696 5168233044 6890977392 10336466088 20672932176