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5369786472960 = 2936572134517
BaseRepresentation
bin100111000100100000000…
…1101110001101000000000
3201000100100122121022000000
41032021000031301220000
51200434310314113320
615230502412000000
71062645212630400
oct116110015615000
921010318538000
105369786472960
11179034a5238a8
1272884a760000
132cc4a4028150
14147c82dda800
1594a318b3c90
hex4e240371a00

5369786472960 has 1680 divisors, whose sum is σ = 24187788585576. Its totient is φ = 1132715114496.

The previous prime is 5369786472949. The next prime is 5369786472979. The reversal of 5369786472960 is 692746879635.

5369786472960 is a `hidden beast` number, since 5 + 3 + 6 + 97 + 8 + 6 + 472 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1470456965376 + 3899329507584 = 1212624^2 + 1974672^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×53697864729602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1188792622 + ... + 1188797138.

Almost surely, 25369786472960 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 5369786472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12093894292788).

5369786472960 is an abundant number, since it is smaller than the sum of its proper divisors (18818002112616).

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

5369786472960 is an equidigital number, since it uses as much as digits as its factorization.

5369786472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 5369786472960 in words is "five trillion, three hundred sixty-nine billion, seven hundred eighty-six million, four hundred seventy-two thousand, nine hundred sixty".