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9656954014096 = 2419231213192
BaseRepresentation
bin1000110010000110111101…
…0100000100100110010000
31021012012021201200120110001
42030201233110010212100
52231204420211422341
632312202103015344
72014456215516514
oct214415724044620
937165251616401
109656954014096
11309354486a464
1210bb6ba43a554
135508541b184c
14255583086144
1511b2ed672d31
hex8c86f504990

9656954014096 has 135 divisors (see below), whose sum is σ = 20419960337163. Its totient is φ = 4423430900160.

The previous prime is 9656954014093. The next prime is 9656954014151. The reversal of 9656954014096 is 6904104596569.

The square root of 9656954014096 is 3107564.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9656954014093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7321420125 + ... + 7321421443.

Almost surely, 29656954014096 is an apocalyptic number.

9656954014096 is the 3107564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9656954014096

9656954014096 is an abundant number, since it is smaller than the sum of its proper divisors (10763006323067).

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

9656954014096 is an equidigital number, since it uses as much as digits as its factorization.

9656954014096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 64.

Multiplying 9656954014096 by its sum of digits (64), we get a square (618045056902144 = 248605122).

The spelling of 9656954014096 in words is "nine trillion, six hundred fifty-six billion, nine hundred fifty-four million, fourteen thousand, ninety-six".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 361 496 589 722 961 1178 1319 1444 1922 2356 2638 2888 3844 4712 5276 5776 7688 9424 10552 11191 15376 18259 21104 22382 25061 36518 40889 44764 50122 73036 81778 89528 100244 146072 163556 179056 200488 292144 327112 346921 400976 476159 654224 693842 776891 952318 1267559 1387684 1553782 1739761 1904636 2535118 2775368 3107564 3479522 3809272 5070236 5550736 6215128 6959044 7618544 10140472 12430256 13918088 14760929 20280944 24083621 27836176 29521858 33055459 48167242 53932591 59043716 66110918 96334484 107865182 118087432 132221836 192668968 215730364 236174864 264443672 385337936 431460728 457588799 528887344 628053721 862921456 915177598 1024719229 1256107442 1671910321 1830355196 2049438458 2512214884 3343820642 3660710392 4098876916 5024429768 6687641284 7321420784 8197753832 10048859536 13375282568 16395507664 19469665351 26750565136 31766296099 38939330702 63532592198 77878661404 127065184396 155757322808 254130368792 311514645616 508260737584 603559625881 1207119251762 2414238503524 4828477007048 9656954014096