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48655975104 = 26331131711163
BaseRepresentation
bin101101010100000111…
…110100001011000000
311122120220210122002000
4231110013310023000
51244121412200404
634204030224000
73341511651552
oct552407641300
9148526718060
1048655975104
11196a9036280
12951a955000
13478548c219
1424d802d4d2
1513eb8aa339
hexb541f42c0

48655975104 has 448 divisors, whose sum is σ = 163485941760. Its totient is φ = 14055552000.

The previous prime is 48655975099. The next prime is 48655975177. The reversal of 48655975104 is 40157955684.

It is a happy number.

48655975104 is a `hidden beast` number, since 4 + 8 + 6 + 559 + 75 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41836027 + ... + 41837189.

Almost surely, 248655975104 is an apocalyptic number.

48655975104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48655975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81742970880).

48655975104 is an abundant number, since it is smaller than the sum of its proper divisors (114829966656).

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

48655975104 is a wasteful number, since it uses less digits than its factorization.

48655975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 48655975104 in words is "forty-eight billion, six hundred fifty-five million, nine hundred seventy-five thousand, one hundred four".