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34266020102064 = 2433114493692789
BaseRepresentation
bin1111100101010001011011…
…11101001011111110110000
311111022210120212010211012000
413302220231331023332300
513442403302121231224
6200513331535134000
710134431631065112
oct762505575137660
9144283525124160
1034266020102064
11aa11157041743
123a14b98974300
13161736c29a7aa
148666ac9c33b2
153e65102150c9
hex1f2a2df4bfb0

34266020102064 has 80 divisors (see below), whose sum is σ = 98357169842400. Its totient is φ = 11421890452224.

The previous prime is 34266020102051. The next prime is 34266020102147. The reversal of 34266020102064 is 46020102066243.

34266020102064 is a `hidden beast` number, since 3 + 4 + 26 + 602 + 0 + 1 + 0 + 20 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49114582 + ... + 49807370.

It is an arithmetic number, because the mean of its divisors is an integer number (1229464623030).

Almost surely, 234266020102064 is an apocalyptic number.

It is an amenable number.

34266020102064 is an abundant number, since it is smaller than the sum of its proper divisors (64091149740336).

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

34266020102064 is a wasteful number, since it uses less digits than its factorization.

34266020102064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807299 (or 807287 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34266020102064 in words is "thirty-four trillion, two hundred sixty-six billion, twenty million, one hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 114493 228986 343479 457972 686958 692789 915944 1030437 1373916 1385578 1831888 2060874 2078367 2747832 2771156 3091311 4121748 4156734 5495664 5542312 6182622 6235101 8243496 8313468 11084624 12365244 12470202 16486992 16626936 18705303 24730488 24940404 33253872 37410606 49460976 49880808 74821212 99761616 149642424 299284848 79319490977 158638981954 237958472931 317277963908 475916945862 634555927816 713875418793 951833891724 1269111855632 1427750837586 1903667783448 2141626256379 2855501675172 3807335566896 4283252512758 5711003350344 8566505025516 11422006700688 17133010051032 34266020102064