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97901275248 = 24327179076299
BaseRepresentation
bin101101100101101011…
…1101110100001110000
3100100200220112002010100
41123023113232201300
53101000211301443
6112550352032400
710034041052310
oct1331327564160
9310626462110
1097901275248
1138579799137
1216b82b32700
139302a7a18a
144a4a427440
15282ed753d3
hex16cb5ee870

97901275248 has 240 divisors, whose sum is σ = 331966252800. Its totient is φ = 26293192704.

The previous prime is 97901275217. The next prime is 97901275253. The reversal of 97901275248 is 84257210979.

97901275248 is a `hidden beast` number, since 9 + 7 + 90 + 1 + 27 + 524 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97901275194 and 97901275203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15539203 + ... + 15545501.

It is an arithmetic number, because the mean of its divisors is an integer number (1383192720).

Almost surely, 297901275248 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 97901275248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165983126400).

97901275248 is an abundant number, since it is smaller than the sum of its proper divisors (234064977552).

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

97901275248 is a wasteful number, since it uses less digits than its factorization.

97901275248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 97901275248 in words is "ninety-seven billion, nine hundred one million, two hundred seventy-five thousand, two hundred forty-eight".