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61310924261928 = 23351117612764841
BaseRepresentation
bin11011111000011000011111…
…10111001000101000101000
322001002021012201122222100000
431330030033313020220220
531014004233102340203
6334221503314543000
715625365600340215
oct1574141767105050
9261067181588300
1061310924261928
11185988a9411a40
126a62574597a60
132829797ca2a33
14111d670ab8b0c
15714c87aa64a3
hex37c30fdc8a28

61310924261928 has 384 divisors, whose sum is σ = 202166131789440. Its totient is φ = 17199516672000.

The previous prime is 61310924261921. The next prime is 61310924261941. The reversal of 61310924261928 is 82916242901316.

It is a happy number.

61310924261928 is a `hidden beast` number, since 6 + 1 + 3 + 10 + 9 + 2 + 4 + 2 + 619 + 2 + 8 = 666.

61310924261928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61310924261921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20792788 + ... + 23557628.

It is an arithmetic number, because the mean of its divisors is an integer number (526474301535).

Almost surely, 261310924261928 is an apocalyptic number.

61310924261928 is a gapful number since it is divisible by the number (68) 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 61310924261928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101083065894720).

61310924261928 is an abundant number, since it is smaller than the sum of its proper divisors (140855207527512).

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

61310924261928 is a wasteful number, since it uses less digits than its factorization.

61310924261928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764951 (or 2764935 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 61310924261928 in words is "sixty-one trillion, three hundred ten billion, nine hundred twenty-four million, two hundred sixty-one thousand, nine hundred twenty-eight".