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54500079480 = 23357311231353
BaseRepresentation
bin110010110000011101…
…010011011101111000
312012200012111220011020
4302300131103131320
51343104010020410
641011553502440
73636364014000
oct626035233570
9165605456136
1054500079480
1121127968400
12a68bb71a20
1351a7173752
1428d025b000
15163e99ba70
hexcb0753778

54500079480 has 768 divisors, whose sum is σ = 216953856000. Its totient is φ = 10928332800.

The previous prime is 54500079467. The next prime is 54500079521. The reversal of 54500079480 is 8497000545.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154390984 + ... + 154391336.

It is an arithmetic number, because the mean of its divisors is an integer number (282492000).

Almost surely, 254500079480 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 54500079480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108476928000).

54500079480 is an abundant number, since it is smaller than the sum of its proper divisors (162453776520).

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

54500079480 is a wasteful number, since it uses less digits than its factorization.

54500079480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 54500079480 in words is "fifty-four billion, five hundred million, seventy-nine thousand, four hundred eighty".