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97450671240 = 2333513314143127
BaseRepresentation
bin101101011000010000…
…0110011110010001000
3100022112111122000122000
41122300200303302020
53044034332434430
6112433534031000
710016630016066
oct1326040636210
9308474560560
1097450671240
11383683aa72a
1216a78048460
1392605cb5a0
144a0664d036
152805517e60
hex16b0833c88

97450671240 has 1024 divisors, whose sum is σ = 381498163200. Its totient is φ = 21946982400.

The previous prime is 97450671233. The next prime is 97450671251. The reversal of 97450671240 is 4217605479.

97450671240 is a `hidden beast` number, since 9 + 74 + 506 + 71 + 2 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 767328057 + ... + 767328183.

It is an arithmetic number, because the mean of its divisors is an integer number (372556800).

Almost surely, 297450671240 is an apocalyptic number.

97450671240 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 97450671240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190749081600).

97450671240 is an abundant number, since it is smaller than the sum of its proper divisors (284047491960).

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

97450671240 is a wasteful number, since it uses less digits than its factorization.

97450671240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 97450671240 in words is "ninety-seven billion, four hundred fifty million, six hundred seventy-one thousand, two hundred forty".