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48120310480 = 245111931263353
BaseRepresentation
bin101100110100001100…
…011010101011010000
311121012120212001100111
4230310030122223100
51242022244413410
634034533131104
73322315614244
oct546414325320
9147176761314
1048120310480
111945372a540
1293ab489a94
1346cb4ca9c8
142486c32424
1513b9849b8a
hexb3431aad0

48120310480 has 320 divisors, whose sum is σ = 133500026880. Its totient is φ = 15936307200.

The previous prime is 48120310451. The next prime is 48120310481. The reversal of 48120310480 is 8401302184.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48120310481) 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, 136317984 + ... + 136318336.

It is an arithmetic number, because the mean of its divisors is an integer number (417187584).

Almost surely, 248120310480 is an apocalyptic number.

48120310480 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 48120310480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66750013440).

48120310480 is an abundant number, since it is smaller than the sum of its proper divisors (85379716400).

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

48120310480 is a wasteful number, since it uses less digits than its factorization.

48120310480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 48120310480 in words is "forty-eight billion, one hundred twenty million, three hundred ten thousand, four hundred eighty".