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9390149664 = 253715319127
BaseRepresentation
bin10001011111011001…
…00101000000100000
3220020102020000201220
420233230211000200
5123212334242124
64151435255040
7451460645430
oct105754450040
926212200656
109390149664
113a89549475
1219a08aa480
13b6855319c
146511742c0
1539e596879
hex22fb25020

9390149664 has 96 divisors (see below), whose sum is σ = 28191937536. Its totient is φ = 2680853760.

The previous prime is 9390149653. The next prime is 9390149689. The reversal of 9390149664 is 4669410939.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1024269 + ... + 1033395.

It is an arithmetic number, because the mean of its divisors is an integer number (293666016).

Almost surely, 29390149664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9390149664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095968768).

9390149664 is an abundant number, since it is smaller than the sum of its proper divisors (18801787872).

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

9390149664 is a wasteful number, since it uses less digits than its factorization.

9390149664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The square root of 9390149664 is about 96902.7846039524. The cubic root of 9390149664 is about 2109.7168494658.

The spelling of 9390149664 in words is "nine billion, three hundred ninety million, one hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1531 3062 4593 6124 9127 9186 10717 12248 18254 18372 21434 24496 27381 32151 36508 36744 42868 48992 54762 63889 64302 73016 73488 85736 109524 127778 128604 146032 146976 171472 191667 219048 255556 257208 292064 342944 383334 438096 511112 514416 766668 876192 1022224 1028832 1533336 2044448 3066672 6133344 13973437 27946874 41920311 55893748 83840622 97814059 111787496 167681244 195628118 223574992 293442177 335362488 391256236 447149984 586884354 670724976 782512472 1173768708 1341449952 1565024944 2347537416 3130049888 4695074832 9390149664