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55148195520 = 26345111271523
BaseRepresentation
bin110011010111000101…
…101010111011000000
312021100101001121020000
4303113011222323000
51400420414224040
641200145120000
73661423633065
oct632705527300
9167311047200
1055148195520
112142a79a5a0
12a831029000
13527b518072
14295236ac6c
15167b821130
hexcd716aec0

55148195520 has 560 divisors, whose sum is σ = 215832342528. Its totient is φ = 13255280640.

The previous prime is 55148195497. The next prime is 55148195521. The reversal of 55148195520 is 2559184155.

55148195520 is a `hidden beast` number, since 5 + 5 + 14 + 81 + 9 + 552 + 0 = 666.

55148195520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×551481955202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55148195521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36209479 + ... + 36211001.

Almost surely, 255148195520 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 55148195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107916171264).

55148195520 is an abundant number, since it is smaller than the sum of its proper divisors (160684147008).

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

55148195520 is a wasteful number, since it uses less digits than its factorization.

55148195520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 55148195520 in words is "fifty-five billion, one hundred forty-eight million, one hundred ninety-five thousand, five hundred twenty".