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97949056842 = 2337132171947101
BaseRepresentation
bin101101100111000110…
…1111111111101001010
3100100211020102122011000
41123032031333331022
53101044424304332
6112555220115430
710035161150250
oct1331615777512
9310736378130
1097949056842
11385a376415a
1216b96b35b76
13930c939900
144a529045d0
152834162b7c
hex16ce37ff4a

97949056842 has 768 divisors, whose sum is σ = 309646540800. Its totient is φ = 22320230400.

The previous prime is 97949056819. The next prime is 97949056853. The reversal of 97949056842 is 24865094979.

97949056842 is a `hidden beast` number, since 97 + 9 + 490 + 56 + 8 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 97949056842.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 969792592 + ... + 969792692.

It is an arithmetic number, because the mean of its divisors is an integer number (403185600).

Almost surely, 297949056842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97949056842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154823270400).

97949056842 is an abundant number, since it is smaller than the sum of its proper divisors (211697483958).

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

97949056842 is a wasteful number, since it uses less digits than its factorization.

97949056842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 97949056842 in words is "ninety-seven billion, nine hundred forty-nine million, fifty-six thousand, eight hundred forty-two".