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136087732772096 = 2873122910697537
BaseRepresentation
bin11110111100010101100100…
…111110000101110100000000
3122211211212020002020102210112
4132330111210332011310000
5120314130134042201341
61201233501422450452
740444004611400420
oct3674254476056400
9584755202212715
10136087732772096
113a3a85353938a6
121331a86a433a28
135ac2030ac7a81
142586977b0c480
1510aee4a811aeb
hex7bc564f85d00

136087732772096 has 144 divisors (see below), whose sum is σ = 321864100131840. Its totient is φ = 56195440312320.

The previous prime is 136087732772077. The next prime is 136087732772113. The reversal of 136087732772096 is 690277237780631.

It is a happy number.

It is a super-2 number, since 2×1360877327720962 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7372640 + ... + 18070176.

Almost surely, 2136087732772096 is an apocalyptic number.

136087732772096 is a gapful number since it is divisible by the number (16) 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 136087732772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160932050065920).

136087732772096 is an abundant number, since it is smaller than the sum of its proper divisors (185776367359744).

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

136087732772096 is a wasteful number, since it uses less digits than its factorization.

136087732772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697820 (or 10697806 counting only the distinct ones).

The product of its (nonzero) digits is 224042112, while the sum is 68.

The spelling of 136087732772096 in words is "one hundred thirty-six trillion, eighty-seven billion, seven hundred thirty-two million, seven hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 229 248 256 434 448 458 496 868 896 916 992 1603 1736 1792 1832 1984 3206 3472 3664 3968 6412 6944 7099 7328 7936 12824 13888 14198 14656 25648 27776 28396 29312 49693 51296 55552 56792 58624 99386 102592 113584 198772 205184 227168 397544 410368 454336 795088 908672 1590176 1817344 3180352 6360704 10697537 12721408 21395074 42790148 74882759 85580296 149765518 171160592 299531036 331623647 342321184 599062072 663247294 684642368 1198124144 1326494588 1369284736 2321365529 2396248288 2449735973 2652989176 2738569472 4642731058 4792496576 4899471946 5305978352 9285462116 9584993152 9798943892 10611956704 17148151811 18570924232 19169986304 19597887784 21223913408 34296303622 37141848464 39195775568 42447826816 68592607244 74283696928 75941815163 78391551136 84895653632 137185214488 148567393856 151883630326 156783102272 274370428976 297134787712 303767260652 313566204544 531592706141 548740857952 594269575424 607534521304 627132409088 1063185412282 1097481715904 1215069042608 2126370824564 2194963431808 2430138085216 4252741649128 4389926863616 4860276170432 8505483298256 9720552340864 17010966596512 19441104681728 34021933193024 68043866386048 136087732772096