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97496451900 = 22345212139923
BaseRepresentation
bin101101011001100111…
…1011100101100111100
3100022122200202220220000
41122303033130230330
53044133042430100
6112442251154300
710021024111311
oct1326317345474
9308580686800
1097496451900
1138391229391
1216a8b445990
139269c3a333
144a0c768d08
15280955c900
hex16b33dcb3c

97496451900 has 180 divisors, whose sum is σ = 316337404152. Its totient is φ = 25975002240.

The previous prime is 97496451883. The next prime is 97496451931. The reversal of 97496451900 is 915469479.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×974964519002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9820339 + ... + 9830261.

Almost surely, 297496451900 is an apocalyptic number.

97496451900 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 97496451900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158168702076).

97496451900 is an abundant number, since it is smaller than the sum of its proper divisors (218840952252).

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

97496451900 is a wasteful number, since it uses less digits than its factorization.

97496451900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11162 (or 11146 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 97496451900 in words is "ninety-seven billion, four hundred ninety-six million, four hundred fifty-one thousand, nine hundred".