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3426265322064 = 243313673906523
BaseRepresentation
bin110001110110111101010…
…100111101001001010000
3110010112210022200020211000
4301312331110331021100
5422113442410301224
611142000552422000
7502353022466064
oct61667524751120
913115708606730
103426265322064
1111010864a7312
124740493a7900
131bb13188a420
14bbb914d7aa4
155e1d1e500c9
hex31dbd53d250

3426265322064 has 160 divisors (see below), whose sum is σ = 10606910975360. Its totient is φ = 1052667850752.

The previous prime is 3426265322021. The next prime is 3426265322107. The reversal of 3426265322064 is 4602235626243.

3426265322064 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 265 + 322 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (3426265322021) and next prime (3426265322107).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3326307 + ... + 4232829.

It is an arithmetic number, because the mean of its divisors is an integer number (66293193596).

Almost surely, 23426265322064 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 3426265322064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303455487680).

3426265322064 is an abundant number, since it is smaller than the sum of its proper divisors (7180645653296).

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

3426265322064 is a wasteful number, since it uses less digits than its factorization.

3426265322064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907226 (or 907214 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 3426265322064 in words is "three trillion, four hundred twenty-six billion, two hundred sixty-five million, three hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 673 702 936 1346 1404 1872 2019 2692 2808 4038 5384 5616 6057 8076 8749 10768 12114 16152 17498 18171 24228 26247 32304 34996 36342 48456 52494 69992 72684 78741 96912 104988 139984 145368 157482 209976 236223 290736 314964 419952 472446 629928 906523 944892 1259856 1813046 1889784 2719569 3626092 3779568 5439138 7252184 8158707 10878276 11784799 14504368 16317414 21756552 23569598 24476121 32634828 35354397 43513104 47139196 48952242 65269656 70708794 94278392 97904484 106063191 130539312 141417588 188556784 195808968 212126382 282835176 318189573 391617936 424252764 565670352 610089979 636379146 848505528 1220179958 1272758292 1697011056 1830269937 2440359916 2545516584 3660539874 4880719832 5091033168 5490809811 7321079748 7931169727 9761439664 10981619622 14642159496 15862339454 16472429433 21963239244 23793509181 29284318992 31724678908 32944858866 43926478488 47587018362 63449357816 65889717732 71380527543 87852956976 95174036724 126898715632 131779435464 142761055086 190348073448 214141582629 263558870928 285522110172 380696146896 428283165258 571044220344 856566330516 1142088440688 1713132661032 3426265322064