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48047091456 = 2837133167331
BaseRepresentation
bin101100101111110101…
…000110111100000000
311121000111002010201210
4230233311012330000
51241400023411311
634023355530120
73320436352560
oct545765067400
9147014063653
1048047091456
111941636aa51
12938aa59940
1346b92a2c40
14247b212da0
1513b31d53a6
hexb2fd46f00

48047091456 has 576 divisors, whose sum is σ = 165384912896. Its totient is φ = 12043468800.

The previous prime is 48047091451. The next prime is 48047091467. The reversal of 48047091456 is 65419074084.

48047091456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48047091451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145157211 + ... + 145157541.

Almost surely, 248047091456 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 48047091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82692456448).

48047091456 is an abundant number, since it is smaller than the sum of its proper divisors (117337821440).

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

48047091456 is a wasteful number, since it uses less digits than its factorization.

48047091456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 48047091456 in words is "forty-eight billion, forty-seven million, ninety-one thousand, four hundred fifty-six".