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48974492160 = 293551117421
BaseRepresentation
bin101101100111000110…
…110111001000000000
311200102010010222100000
4231213012313020000
51300244432222120
634255405200000
73352430212656
oct554706671000
9150363128300
1048974492160
1119851907910
1295a9560000
134806471459
142528462dd6
151419825990
hexb671b7200

48974492160 has 960 divisors, whose sum is σ = 203654715264. Its totient is φ = 11147673600.

The previous prime is 48974492153. The next prime is 48974492167. The reversal of 48974492160 is 6129447984.

48974492160 is a `hidden beast` number, since 4 + 8 + 97 + 4 + 492 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (48974492153) and next prime (48974492167).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 48974492097 and 48974492106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48974492167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116328750 + ... + 116329170.

Almost surely, 248974492160 is an apocalyptic number.

48974492160 is a gapful number since it is divisible by the number (40) 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 48974492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101827357632).

48974492160 is an abundant number, since it is smaller than the sum of its proper divisors (154680223104).

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

48974492160 is a wasteful number, since it uses less digits than its factorization.

48974492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48974492160 in words is "forty-eight billion, nine hundred seventy-four million, four hundred ninety-two thousand, one hundred sixty".