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9935056472 = 2311738917377
BaseRepresentation
bin10010100000010110…
…01110111001011000
3221122101120011100112
421100023032321120
5130321333301342
64321502423452
7501125405135
oct112013167130
927571504315
109935056472
114239097a80
121b13291b88
13c243cc353
146a369958c
153d2330682
hex2502cee58

9935056472 has 64 divisors (see below), whose sum is σ = 20832746400. Its totient is φ = 4403773440.

The previous prime is 9935056451. The next prime is 9935056487. The reversal of 9935056472 is 2746505399.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9935056472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563048 + ... + 580424.

Almost surely, 29935056472 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 9935056472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416373200).

9935056472 is an abundant number, since it is smaller than the sum of its proper divisors (10897689928).

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

9935056472 is a wasteful number, since it uses less digits than its factorization.

9935056472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17556 (or 17552 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 50.

The square root of 9935056472 is about 99674.7534333544. The cubic root of 9935056472 is about 2149.7606708179.

The spelling of 9935056472 in words is "nine billion, nine hundred thirty-five million, fifty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 73 88 89 146 178 292 356 584 712 803 979 1606 1958 3212 3916 6424 6497 7832 12994 17377 25988 34754 51976 69508 71467 139016 142934 191147 285868 382294 571736 764588 1268521 1529176 1546553 2537042 3093106 5074084 6186212 10148168 12372424 13953731 17012083 27907462 34024166 55814924 68048332 111629848 112898369 136096664 225796738 451593476 903186952 1241882059 2483764118 4967528236 9935056472