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9940216464 = 2432314154311
BaseRepresentation
bin10010100000111101…
…11010101010010000
3221122202021022112100
421100132322222100
5130324143411324
64322205200400
7501220305633
oct112036725220
927582238470
109940216464
114240aa1832
121b14b60100
13c254b7bb9
146a423dc1a
153d29ee4c9
hex2507baa90

9940216464 has 120 divisors (see below), whose sum is σ = 29417117184. Its totient is φ = 3128256000.

The previous prime is 9940216457. The next prime is 9940216471. The reversal of 9940216464 is 4646120499.

It is an interprime number because it is at equal distance from previous prime (9940216457) and next prime (9940216471).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155869 + ... + 210179.

Almost surely, 29940216464 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 9940216464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708558592).

9940216464 is an abundant number, since it is smaller than the sum of its proper divisors (19476900720).

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

9940216464 is a wasteful number, since it uses less digits than its factorization.

9940216464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54397 (or 54388 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9940216464 is about 99700.6342206508. The cubic root of 9940216464 is about 2150.1327817038.

The spelling of 9940216464 in words is "nine billion, nine hundred forty million, two hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 41 48 62 72 82 93 123 124 144 164 186 246 248 279 328 369 372 492 496 558 656 738 744 984 1116 1271 1476 1488 1968 2232 2542 2952 3813 4464 5084 5904 7626 10168 11439 15252 20336 22878 30504 45756 54311 61008 91512 108622 162933 183024 217244 325866 434488 488799 651732 868976 977598 1303464 1683641 1955196 2226751 2606928 3367282 3910392 4453502 5050923 6680253 6734564 7820784 8907004 10101846 13360506 13469128 15152769 17814008 20040759 20203692 26721012 26938256 30305538 35628016 40081518 40407384 53442024 60611076 69029281 80163036 80814768 106884048 121222152 138058562 160326072 207087843 242444304 276117124 320652144 414175686 552234248 621263529 828351372 1104468496 1242527058 1656702744 2485054116 3313405488 4970108232 9940216464