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6796825936416 = 2532191951636653
BaseRepresentation
bin110001011101000001001…
…1001010100001000100000
3220001202210111010011012100
41202322002121110020200
51342324344414431131
622242230240130400
71301024453135415
oct142720231241040
926052714104170
106796825936416
1121905770591aa
1291932b306a00
133a3c2684c129
14196d7a79c10c
15bbc037a17e6
hex62e82654220

6796825936416 has 144 divisors (see below), whose sum is σ = 20356222199040. Its totient is φ = 2145262579200.

The previous prime is 6796825936399. The next prime is 6796825936421. The reversal of 6796825936416 is 6146395286976.

6796825936416 is a `hidden beast` number, since 6 + 7 + 9 + 6 + 8 + 259 + 364 + 1 + 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10357546 + ... + 10994198.

It is an arithmetic number, because the mean of its divisors is an integer number (141362654160).

Almost surely, 26796825936416 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 6796825936416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178111099520).

6796825936416 is an abundant number, since it is smaller than the sum of its proper divisors (13559396262624).

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

6796825936416 is a wasteful number, since it uses less digits than its factorization.

6796825936416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638639 (or 638628 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 6796825936416 in words is "six trillion, seven hundred ninety-six billion, eight hundred twenty-five million, nine hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 1951 2736 3902 5472 5853 7804 11706 15608 17559 23412 31216 35118 37069 46824 62432 70236 74138 93648 111207 140472 148276 187296 222414 280944 296552 333621 444828 561888 593104 636653 667242 889656 1186208 1273306 1334484 1779312 1909959 2546612 2668968 3558624 3819918 5093224 5337936 5729877 7639836 10186448 10675872 11459754 12096407 15279672 20372896 22919508 24192814 30559344 36289221 45839016 48385628 61118688 72578442 91678032 96771256 108867663 145156884 183356064 193542512 217735326 290313768 387085024 435470652 580627536 870941304 1161255072 1242110003 1741882608 2484220006 3483765216 3726330009 4968440012 7452660018 9936880024 11178990027 14905320036 19873760048 22357980054 23600090057 29810640072 39747520096 44715960108 47200180114 59621280144 70800270171 89431920216 94400360228 119242560288 141600540342 178863840432 188800720456 212400810513 283201080684 357727680864 377601440912 424801621026 566402161368 755202881824 849603242052 1132804322736 1699206484104 2265608645472 3398412968208 6796825936416