Search a number
-
+
10076704080 = 2435268315649
BaseRepresentation
bin10010110001001111…
…00100110101010000
3222000021002121100020
421120213210311100
5131114114012310
64343522423440
7504465400002
oct113047446520
928007077306
1010076704080
114301044a13
121b52801b80
13c478655c1
146b840c372
153de9b0170
hex2589e4d50

10076704080 has 80 divisors (see below), whose sum is σ = 31251422400. Its totient is φ = 2685947904.

The previous prime is 10076704013. The next prime is 10076704091. The reversal of 10076704080 is 8040767001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636096 + ... + 651744.

It is an arithmetic number, because the mean of its divisors is an integer number (390642780).

Almost surely, 210076704080 is an apocalyptic number.

10076704080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10076704080 is an abundant number, since it is smaller than the sum of its proper divisors (21174718320).

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

10076704080 is a wasteful number, since it uses less digits than its factorization.

10076704080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18348 (or 18342 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 10076704080 in words is "ten billion, seventy-six million, seven hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2683 5366 8049 10732 13415 15649 16098 21464 26830 31298 32196 40245 42928 46947 53660 62596 64392 78245 80490 93894 107320 125192 128784 156490 160980 187788 214640 234735 250384 312980 321960 375576 469470 625960 643920 751152 938940 1251920 1877880 3755760 41986267 83972534 125958801 167945068 209931335 251917602 335890136 419862670 503835204 629794005 671780272 839725340 1007670408 1259588010 1679450680 2015340816 2519176020 3358901360 5038352040 10076704080