Search a number
-
+
10120933376 = 21219472767
BaseRepresentation
bin10010110110100000…
…10011000000000000
3222010100022200112022
421123100103000000
5131211424332001
64352142421012
7505543341251
oct113320230000
928110280468
1010120933376
114324004054
121b65591768
13c53a80198
146c0242b28
153e37ea11b
hex25b413000

10120933376 has 104 divisors (see below), whose sum is σ = 21765780480. Its totient is φ = 4690427904.

The previous prime is 10120933373. The next prime is 10120933393. The reversal of 10120933376 is 67333902101.

It is not an unprimeable number, because it can be changed into a prime (10120933373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3656345 + ... + 3659111.

Almost surely, 210120933376 is an apocalyptic number.

10120933376 is a gapful number since it is divisible by the number (16) 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 10120933376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10882890240).

10120933376 is an abundant number, since it is smaller than the sum of its proper divisors (11644847104).

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

10120933376 is an equidigital number, since it uses as much as digits as its factorization.

10120933376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The spelling of 10120933376 in words is "ten billion, one hundred twenty million, nine hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 128 152 188 256 304 376 512 608 752 893 1024 1216 1504 1786 2048 2432 2767 3008 3572 4096 4864 5534 6016 7144 9728 11068 12032 14288 19456 22136 24064 28576 38912 44272 48128 52573 57152 77824 88544 96256 105146 114304 130049 177088 192512 210292 228608 260098 354176 420584 457216 520196 708352 841168 914432 1040392 1416704 1682336 1828864 2080784 2470931 2833408 3364672 3657728 4161568 4941862 5666816 6729344 8323136 9883724 11333632 13458688 16646272 19767448 26917376 33292544 39534896 53834752 66585088 79069792 107669504 133170176 158139584 215339008 266340352 316279168 532680704 632558336 1265116672 2530233344 5060466688 10120933376