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97467002640 = 24325743210459
BaseRepresentation
bin101101011000101111…
…1000110111100010000
3100022120122100202002200
41122301133012330100
53044103023041030
6112435320043200
710020215565360
oct1326137067420
9308518322080
1097467002640
1138376644757
1216a81603500
139263ac8c37
144a088a09a0
152806b91d60
hex16b17c6f10

97467002640 has 360 divisors, whose sum is σ = 383026288320. Its totient is φ = 21757994496.

The previous prime is 97467002621. The next prime is 97467002747. The reversal of 97467002640 is 4620076479.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9313731 + ... + 9324189.

It is an arithmetic number, because the mean of its divisors is an integer number (1063961912).

Almost surely, 297467002640 is an apocalyptic number.

97467002640 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 97467002640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191513144160).

97467002640 is an abundant number, since it is smaller than the sum of its proper divisors (285559285680).

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

97467002640 is a wasteful number, since it uses less digits than its factorization.

97467002640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10571 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 97467002640 in words is "ninety-seven billion, four hundred sixty-seven million, two thousand, six hundred forty".