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115942421952 = 2633716015987
BaseRepresentation
bin110101111111010110…
…1001111010111000000
3102002021020010021211000
41223332231033113000
53344422230000302
6125132504252000
711243106216540
oct1537655172700
9362236107730
10115942421952
1145197524735
121a578a71000
13ac19686206
14587c4c5320
153038b5a31c
hex1afeb4f5c0

115942421952 has 224 divisors, whose sum is σ = 389850416640. Its totient is φ = 33100185600.

The previous prime is 115942421929. The next prime is 115942421977. The reversal of 115942421952 is 259124249511.

115942421952 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 424 + 219 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1159424219522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115942421898 and 115942421907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19362703 + ... + 19368689.

Almost surely, 2115942421952 is an apocalyptic number.

115942421952 is a gapful number since it is divisible by the number (12) 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 115942421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194925208320).

115942421952 is an abundant number, since it is smaller than the sum of its proper divisors (273907994688).

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

115942421952 is a wasteful number, since it uses less digits than its factorization.

115942421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 7600 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 115942421952 in words is "one hundred fifteen billion, nine hundred forty-two million, four hundred twenty-one thousand, nine hundred fifty-two".