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48657047040 = 293257347131
BaseRepresentation
bin101101010100001011…
…111001111000000000
311122120222211002111100
4231110023321320000
51244122201001130
634204105214400
73341524035000
oct552413717000
9148528732440
1048657047040
11196a96a8678
12951b191400
1347857760c4
1424d822c000
1513eba1cc60
hexb542f9e00

48657047040 has 960 divisors, whose sum is σ = 202229913600. Its totient is φ = 10801889280.

The previous prime is 48657046981. The next prime is 48657047059. The reversal of 48657047040 is 4074075684.

48657047040 is a `hidden beast` number, since 4 + 8 + 6 + 570 + 4 + 70 + 4 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371427775 + ... + 371427905.

It is an arithmetic number, because the mean of its divisors is an integer number (210656160).

Almost surely, 248657047040 is an apocalyptic number.

48657047040 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 48657047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101114956800).

48657047040 is an abundant number, since it is smaller than the sum of its proper divisors (153572866560).

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

48657047040 is a wasteful number, since it uses less digits than its factorization.

48657047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 48657047040 in words is "forty-eight billion, six hundred fifty-seven million, forty-seven thousand, forty".