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48763984137904 = 24731151739125863
BaseRepresentation
bin10110001011001101111111…
…11100111100111010110000
320101122210100220020210102001
423011212333330330322300
522342422114414403104
6251413510503503344
713162036662064510
oct1305467774747260
9211583326223361
1048763984137904
11145a0764853812
125576953757b54
132129568612589
14c08291ad7840
155986e312caa4
hex2c59bff3ceb0

48763984137904 has 160 divisors (see below), whose sum is σ = 112351402065920. Its totient is φ = 20063409696000.

The previous prime is 48763984137899. The next prime is 48763984137923. The reversal of 48763984137904 is 40973148936784.

It is a super-2 number, since 2×487639841379042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387374077 + ... + 387499939.

It is an arithmetic number, because the mean of its divisors is an integer number (702196262912).

Almost surely, 248763984137904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48763984137904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56175701032960).

48763984137904 is an abundant number, since it is smaller than the sum of its proper divisors (63587417928016).

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

48763984137904 is a wasteful number, since it uses less digits than its factorization.

48763984137904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126799 (or 126793 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 73.

The spelling of 48763984137904 in words is "forty-eight trillion, seven hundred sixty-three billion, nine hundred eighty-four million, one hundred thirty-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 151 217 248 302 434 496 604 739 868 1057 1208 1478 1736 2114 2416 2956 3472 4228 4681 5173 5912 8456 9362 10346 11824 16912 18724 20692 22909 32767 37448 41384 45818 65534 74896 82768 91636 111589 125863 131068 160363 183272 223178 251726 262136 320726 366544 446356 503452 524272 641452 781123 881041 892712 1006904 1282904 1562246 1762082 1785424 2013808 2565808 3124492 3459259 3524164 3901753 6248984 6918518 7048328 7803506 12497968 13837036 14096656 15607012 19005313 24214813 27312271 27674072 31214024 38010626 48429626 54624542 55348144 62428048 76021252 93012757 96859252 109249084 133037191 152042504 186025514 193718504 218498168 266074382 304085008 372051028 387437008 436996336 532148764 589164703 651089299 744102056 1064297528 1178329406 1302178598 1488204112 2128595056 2356658812 2604357196 2883395467 4124152921 4713317624 5208714392 5766790934 8248305842 9426635248 10417428784 11533581868 14044926307 16496611684 20183768269 23067163736 28089852614 32993223368 40367536538 46134327472 56179705228 65986446736 80735073076 98314484149 112359410456 161470146152 196628968298 224718820912 322940292304 393257936596 435392715517 786515873192 870785431034 1573031746384 1741570862068 3047749008619 3483141724136 6095498017238 6966283448272 12190996034476 24381992068952 48763984137904