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7133480555148 = 22331710150975577
BaseRepresentation
bin110011111001110010010…
…0100110001001010001100
3221020221202112011202002000
41213303210210301022030
51413333332010231043
623101024205032300
71334243204156523
oct147634444611214
927227675152060
107133480555148
112300323893032
12972624255690
133c98b861bc3c
141a9395a7b4ba
15c5858dcd2d3
hex67ce493128c

7133480555148 has 192 divisors, whose sum is σ = 19815100502400. Its totient is φ = 2211414220800.

The previous prime is 7133480555137. The next prime is 7133480555197. The reversal of 7133480555148 is 8415550843317.

7133480555148 is a `hidden beast` number, since 7 + 1 + 3 + 3 + 4 + 80 + 5 + 551 + 4 + 8 = 666.

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 = 7133480555094 and 7133480555103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94349136 + ... + 94424712.

It is an arithmetic number, because the mean of its divisors is an integer number (103203648450).

Almost surely, 27133480555148 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 7133480555148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907550251200).

7133480555148 is an abundant number, since it is smaller than the sum of its proper divisors (12681619947252).

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

7133480555148 is a wasteful number, since it uses less digits than its factorization.

7133480555148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76217 (or 76209 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 7133480555148 in words is "seven trillion, one hundred thirty-three billion, four hundred eighty million, five hundred fifty-five thousand, one hundred forty-eight".