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97423424759808 = 2113577924481
BaseRepresentation
bin10110001001101100101000…
…101000000010100000000000
3110202221120212222102201100000
4112021230220220002200000
5100232141133214303213
6543111411541200000
726343416200022430
oct2611545050024000
9422846788381300
1097423424759808
11290510514a9624
12ab1538ba00000
134248cb30138c4
141a0b4671782c0
15b3e3181d8c73
hex589b28a02800

97423424759808 has 864 divisors, whose sum is σ = 337833660790080. Its totient is φ = 27476785889280.

The previous prime is 97423424759807. The next prime is 97423424759809. The reversal of 97423424759808 is 80895742432479.

It is a happy number.

97423424759808 is a `hidden beast` number, since 9 + 7 + 4 + 2 + 3 + 4 + 24 + 7 + 598 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (97423424759807) and next prime (97423424759809).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (97423424759807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21741444928 + ... + 21741449408.

It is an arithmetic number, because the mean of its divisors is an integer number (391011181470).

Almost surely, 297423424759808 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 97423424759808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168916830395040).

97423424759808 is an abundant number, since it is smaller than the sum of its proper divisors (240410236030272).

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

97423424759808 is an frugal number, since it uses more digits than its factorization.

97423424759808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 97423424759808 in words is "ninety-seven trillion, four hundred twenty-three billion, four hundred twenty-four million, seven hundred fifty-nine thousand, eight hundred eight".