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96695356896 = 25322343333713
BaseRepresentation
bin101101000001101111…
…1100000110111100000
3100020120212101002010200
41122003133200313200
53041013002410041
6112230553025200
76662125654335
oct1320337406740
9306525332120
1096695356896
113801000a8a6
12168a70b5200
13916cc92c18
1449741d698c
1527ae06b1b6
hex16837e0de0

96695356896 has 144 divisors (see below), whose sum is σ = 287604154656. Its totient is φ = 30758289408.

The previous prime is 96695356889. The next prime is 96695356897. The reversal of 96695356896 is 69865359669.

96695356896 is a `hidden beast` number, since 9 + 6 + 6 + 9 + 53 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96695356897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2851336 + ... + 2885048.

It is an arithmetic number, because the mean of its divisors is an integer number (1997251074).

Almost surely, 296695356896 is an apocalyptic number.

96695356896 is a gapful number since it is divisible by the number (96) 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 96695356896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143802077328).

96695356896 is an abundant number, since it is smaller than the sum of its proper divisors (190908797760).

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

96695356896 is a wasteful number, since it uses less digits than its factorization.

96695356896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34185 (or 34174 counting only the distinct ones).

The product of its digits is 566870400, while the sum is 72.

The spelling of 96695356896 in words is "ninety-six billion, six hundred ninety-five million, three hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 433 552 736 828 866 1104 1299 1656 1732 2208 2598 3312 3464 3897 5196 6624 6928 7794 9959 10392 13856 15588 19918 20784 29877 31176 33713 39836 41568 59754 62352 67426 79672 89631 101139 119508 124704 134852 159344 179262 202278 239016 269704 303417 318688 358524 404556 478032 539408 606834 717048 775399 809112 956064 1078816 1213668 1434096 1550798 1618224 2326197 2427336 2868192 3101596 3236448 4652394 4854672 6203192 6978591 9304788 9709344 12406384 13957182 14597729 18609576 24812768 27914364 29195458 37219152 43793187 55828728 58390916 74438304 87586374 111657456 116781832 131379561 175172748 223314912 233563664 262759122 335747767 350345496 467127328 525518244 671495534 700690992 1007243301 1051036488 1342991068 1401381984 2014486602 2102072976 2685982136 3021729903 4028973204 4204145952 5371964272 6043459806 8057946408 10743928544 12086919612 16115892816 24173839224 32231785632 48347678448 96695356896