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48189918816 = 2533134290413
BaseRepresentation
bin101100111000010101…
…111100111001100000
311121101102211112001000
4230320111330321200
51242143104400231
634045501112000
73324122360064
oct547025747140
9147342745030
1048189918816
1119489a53296
12940a858600
13470ca60180
142492191aa4
1513c09e96e6
hexb3857ce60

48189918816 has 96 divisors (see below), whose sum is σ = 151365805920. Its totient is φ = 14827663872.

The previous prime is 48189918781. The next prime is 48189918817. The reversal of 48189918816 is 61881998184.

48189918816 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 (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48189918817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2133975 + ... + 2156438.

It is an arithmetic number, because the mean of its divisors is an integer number (1576727145).

Almost surely, 248189918816 is an apocalyptic number.

It is an amenable number.

48189918816 is an abundant number, since it is smaller than the sum of its proper divisors (103175887104).

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

48189918816 is a wasteful number, since it uses less digits than its factorization.

48189918816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290445 (or 4290431 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 63.

The spelling of 48189918816 in words is "forty-eight billion, one hundred eighty-nine million, nine hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 4290413 8580826 12871239 17161652 25742478 34323304 38613717 51484956 55775369 68646608 77227434 102969912 111550738 115841151 137293216 154454868 167326107 205939824 223101476 231682302 308909736 334652214 411879648 446202952 463364604 501978321 617819472 669304428 892405904 926729208 1003956642 1235638944 1338608856 1505934963 1784811808 1853458416 2007913284 2677217712 3011869926 3706916832 4015826568 5354435424 6023739852 8031653136 12047479704 16063306272 24094959408 48189918816