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97017108480 = 211355127307
BaseRepresentation
bin101101001011010101…
…0111001100000000000
3100021102021210202100000
41122112222321200000
53042142334432410
6112322525200000
710003113546525
oct1322652714000
9307367722300
1097017108480
11381656a05a6
1216976a00000
1391c1838486
1449a4c2d14c
1527cc424dc0
hex1696ab9800

97017108480 has 576 divisors, whose sum is σ = 352587755520. Its totient is φ = 25583910912.

The previous prime is 97017108443. The next prime is 97017108497. The reversal of 97017108480 is 8480171079.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316016487 + ... + 316016793.

It is an arithmetic number, because the mean of its divisors is an integer number (612131520).

Almost surely, 297017108480 is an apocalyptic number.

97017108480 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 97017108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176293877760).

97017108480 is an abundant number, since it is smaller than the sum of its proper divisors (255570647040).

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

97017108480 is a wasteful number, since it uses less digits than its factorization.

97017108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 97017108480 in words is "ninety-seven billion, seventeen million, one hundred eight thousand, four hundred eighty".