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9740474640 = 24335131918257
BaseRepresentation
bin10010001001001001…
…11101100100010000
3221010211102101021000
421010210331210100
5124422030142030
64250312102000
7463243445151
oct110444754420
927124371230
109740474640
114149275846
121a7a094900
13bc2cc1280
146858c7928
153c01e6860
hex24493d910

9740474640 has 320 divisors, whose sum is σ = 38035065600. Its totient is φ = 2271338496.

The previous prime is 9740474609. The next prime is 9740474651. The reversal of 9740474640 is 464740479.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524392 + ... + 542648.

It is an arithmetic number, because the mean of its divisors is an integer number (118859580).

Almost surely, 29740474640 is an apocalyptic number.

9740474640 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 9740474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017532800).

9740474640 is an abundant number, since it is smaller than the sum of its proper divisors (28294590960).

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

9740474640 is a wasteful number, since it uses less digits than its factorization.

9740474640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18311 (or 18299 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 9740474640 is about 98693.8429690525. The cubic root of 9740474640 is about 2135.6334113970.

The spelling of 9740474640 in words is "nine billion, seven hundred forty million, four hundred seventy-four thousand, six hundred forty".