Search a number
-
+
48116628434304 = 2732307913565413
BaseRepresentation
bin10101111000011000001101…
…00010111010110110000000
320022100220102120021202000200
422330030012202322312000
522301320323334344204
6250200250212245200
713064211623305623
oct1274140642726600
9208326376252020
1048116628434304
11143711693981a1
1254913a9610800
1320b04bc9c75a1
14bc4c003b5dba
15586955b4a539
hex2bc3068bad80

48116628434304 has 96 divisors (see below), whose sum is σ = 138505590022800. Its totient is φ = 16033665844224.

The previous prime is 48116628434269. The next prime is 48116628434393. The reversal of 48116628434304 is 40343482661184.

48116628434304 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 6 + 628 + 4 + 3 + 4 + 3 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3235699 + ... + 10329714.

Almost surely, 248116628434304 is an apocalyptic number.

It is an amenable number.

48116628434304 is an abundant number, since it is smaller than the sum of its proper divisors (90388961588496).

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

48116628434304 is a wasteful number, since it uses less digits than its factorization.

48116628434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13568512 (or 13568497 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 48116628434304 in words is "forty-eight trillion, one hundred sixteen billion, six hundred twenty-eight million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3079 6158 9237 12316 18474 24632 27711 36948 49264 55422 73896 98528 110844 147792 197056 221688 295584 394112 443376 591168 886752 1182336 1773504 3547008 13565413 27130826 40696239 54261652 81392478 108523304 122088717 162784956 217046608 244177434 325569912 434093216 488354868 651139824 868186432 976709736 1302279648 1736372864 1953419472 2604559296 3906838944 5209118592 7813677888 15627355776 41767906627 83535813254 125303719881 167071626508 250607439762 334143253016 375911159643 501214879524 668286506032 751822319286 1002429759048 1336573012064 1503644638572 2004859518096 2673146024128 3007289277144 4009719036192 5346292048256 6014578554288 8019438072384 12029157108576 16038876144768 24058314217152 48116628434304