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48048253344 = 25327131833343
BaseRepresentation
bin101100101111111001…
…100010100110100000
311121000120021011112200
4230233321202212200
51241400323101334
634023440453200
73320452262160
oct545771424640
9147016234480
1048048253344
1119416a93993
12938b31a200
1346b95bba50
14247b4365a0
1513b3364799
hexb2fe629a0

48048253344 has 144 divisors (see below), whose sum is σ = 168168978432. Its totient is φ = 12672059904.

The previous prime is 48048253333. The next prime is 48048253369. The reversal of 48048253344 is 44335284084.

It is a happy number.

48048253344 is a `hidden beast` number, since 4 + 80 + 482 + 53 + 3 + 44 = 666.

48048253344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 48048253344.

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, 890464 + ... + 942879.

It is an arithmetic number, because the mean of its divisors is an integer number (1167840128).

Almost surely, 248048253344 is an apocalyptic number.

It is an amenable number.

48048253344 is an abundant number, since it is smaller than the sum of its proper divisors (120120725088).

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

48048253344 is a wasteful number, since it uses less digits than its factorization.

48048253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833379 (or 1833368 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 48048253344 in words is "forty-eight billion, forty-eight million, two hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 1833343 3666686 5500029 7333372 11000058 12833401 14666744 16500087 22000116 23833459 25666802 29333488 33000174 38500203 44000232 47666918 51333604 58666976 66000348 71500377 77000406 88000464 95333836 102667208 115500609 132000696 143000754 154000812 166834213 176000928 190667672 205334416 214501131 231001218 264001392 286001508 308001624 333668426 381335344 410668832 429002262 462002436 500502639 528002784 572003016 616003248 667336852 762670688 858004524 924004872 1001005278 1144006032 1232006496 1334673704 1501507917 1716009048 1848009744 2002010556 2288012064 2669347408 3003015834 3432018096 3696019488 4004021112 5338694816 6006031668 6864036192 8008042224 12012063336 16016084448 24024126672 48048253344