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48190708896 = 2531158777743
BaseRepresentation
bin101100111000011000…
…111101110010100000
311121101111022122211020
4230320120331302200
51242143310141041
634045530045440
73324132160401
oct547030756240
9147344278736
1048190708896
111948a442950
12940ab79880
13470cc78985
1424923199a8
1513c0b03866
hexb3863dca0

48190708896 has 96 divisors (see below), whose sum is σ = 138237539328. Its totient is φ = 14578179840.

The previous prime is 48190708883. The next prime is 48190708897. The reversal of 48190708896 is 69880709184.

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

It is not an unprimeable number, because it can be changed into a prime (48190708897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581001 + ... + 658743.

It is an arithmetic number, because the mean of its divisors is an integer number (1439974368).

Almost surely, 248190708896 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 48190708896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69118769664).

48190708896 is an abundant number, since it is smaller than the sum of its proper divisors (90046830432).

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

48190708896 is a wasteful number, since it uses less digits than its factorization.

48190708896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78354 (or 78346 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 48190708896 in words is "forty-eight billion, one hundred ninety million, seven hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 587 1056 1174 1761 2348 3522 4696 6457 7044 9392 12914 14088 18784 19371 25828 28176 38742 51656 56352 77484 77743 103312 154968 155486 206624 233229 309936 310972 466458 619872 621944 855173 932916 1243888 1710346 1865832 2487776 2565519 3420692 3731664 5131038 6841384 7463328 10262076 13682768 20524152 27365536 41048304 45635141 82096608 91270282 136905423 182540564 273810846 365081128 501986551 547621692 730162256 1003973102 1095243384 1460324512 1505959653 2007946204 2190486768 3011919306 4015892408 4380973536 6023838612 8031784816 12047677224 16063569632 24095354448 48190708896