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34200623052064 = 257739289771317
BaseRepresentation
bin1111100011010111100111…
…11111001111010100100000
311111002112210020001110200001
413301223303333033110200
513440320334000131224
6200423314353305344
710126625215245550
oct761536377172440
9144075706043601
1034200623052064
11a996448117087
123a04387565254
1316111496640c1
14863467435160
153e4983c7b544
hex1f1af3fcf520

34200623052064 has 96 divisors (see below), whose sum is σ = 77083210189440. Its totient is φ = 14632317923328.

The previous prime is 34200623052061. The next prime is 34200623052131. The reversal of 34200623052064 is 46025032600243.

It is not an unprimeable number, because it can be changed into a prime (34200623052061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479522134 + ... + 479593450.

It is an arithmetic number, because the mean of its divisors is an integer number (802950106140).

Almost surely, 234200623052064 is an apocalyptic number.

It is an amenable number.

34200623052064 is an abundant number, since it is smaller than the sum of its proper divisors (42882587137376).

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

34200623052064 is a wasteful number, since it uses less digits than its factorization.

34200623052064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74970 (or 74962 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 34200623052064 in words is "thirty-four trillion, two hundred billion, six hundred twenty-three million, fifty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 739 1478 2897 2956 5173 5794 5912 10346 11588 11824 20279 20692 23176 23648 40558 41384 46352 71317 81116 82768 92704 142634 162232 165536 285268 324464 499219 570536 648928 998438 1141072 1996876 2140883 2282144 3993752 4281766 7987504 8563532 14986181 15975008 17127064 29972362 34254128 52703263 59944724 68508256 105406526 119889448 206605349 210813052 239778896 368922841 413210698 421626104 479557792 737845682 826421396 843252208 1446237443 1475691364 1652842792 1686504416 2892474886 2951382728 3305685584 5784949772 5902765456 6611371168 11569899544 11805530912 23139799088 46279598176 152681352911 305362705822 610725411644 1068769470377 1221450823288 2137538940754 2442901646576 4275077881508 4885803293152 8550155763016 17100311526032 34200623052064