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48157034496 = 211312761717
BaseRepresentation
bin101100110110011000…
…100000100000000000
311121022010221211020020
4230312120200200000
51242111200100441
634042324213440
73323243016324
oct546630404000
9147263854206
1048157034496
111947243286a
1293bb83a280
134705cb83ac
14248ba71984
1513bcba0e66
hexb36620800

48157034496 has 96 divisors (see below), whose sum is σ = 129400427520. Its totient is φ = 15925690368.

The previous prime is 48157034473. The next prime is 48157034509. The reversal of 48157034496 is 69443075184.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749430 + ... + 811146.

It is an arithmetic number, because the mean of its divisors is an integer number (1347921120).

Almost surely, 248157034496 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 48157034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64700213760).

48157034496 is an abundant number, since it is smaller than the sum of its proper divisors (81243393024).

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

48157034496 is a wasteful number, since it uses less digits than its factorization.

48157034496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61869 (or 61849 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 48157034496 in words is "forty-eight billion, one hundred fifty-seven million, thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1524 1536 2032 2048 3048 3072 4064 6096 6144 8128 12192 16256 24384 32512 48768 61717 65024 97536 123434 130048 185151 195072 246868 260096 370302 390144 493736 740604 780288 987472 1481208 1974944 2962416 3949888 5924832 7838059 7899776 11849664 15676118 15799552 23514177 23699328 31352236 31599104 47028354 47398656 62704472 63198208 94056708 94797312 125408944 126396416 188113416 189594624 250817888 376226832 379189248 501635776 752453664 1003271552 1504907328 2006543104 3009814656 4013086208 6019629312 8026172416 12039258624 16052344832 24078517248 48157034496