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97342611840 = 273651979139
BaseRepresentation
bin101101010101000010…
…0100110000110000000
3100022020222022001000000
41122222010212012000
53043324202034330
6112415114000000
710014145356105
oct1325204460600
9308228261000
1097342611840
1138312404041
1216a47a16000
1392440c5606
1449d6160aac
1527eacc0560
hex16aa126180

97342611840 has 896 divisors, whose sum is σ = 374592960000. Its totient is φ = 24105848832.

The previous prime is 97342611757. The next prime is 97342611851. The reversal of 97342611840 is 4811624379.

97342611840 is a `hidden beast` number, since 9 + 73 + 426 + 118 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 700306491 + ... + 700306629.

It is an arithmetic number, because the mean of its divisors is an integer number (418072500).

Almost surely, 297342611840 is an apocalyptic number.

97342611840 is a gapful number since it is divisible by the number (90) 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 97342611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187296480000).

97342611840 is an abundant number, since it is smaller than the sum of its proper divisors (277250348160).

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

97342611840 is a wasteful number, since it uses less digits than its factorization.

97342611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 97342611840 in words is "ninety-seven billion, three hundred forty-two million, six hundred eleven thousand, eight hundred forty".