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104206650624 = 2832231119571
BaseRepresentation
bin110000100001100110…
…0110100110100000000
3100221222100012100001200
41201003030310310000
53201403400304444
6115512154101200
710346223626016
oct1410314646400
9327870170050
10104206650624
1140214a34a6a
121824271a800
139a991a661b
145087a088b6
152a9d6ce969
hex1843334d00

104206650624 has 108 divisors (see below), whose sum is σ = 300598832352. Its totient is φ = 34718745600.

The previous prime is 104206650623. The next prime is 104206650703. The reversal of 104206650624 is 426056602401.

104206650624 is a `hidden beast` number, since 1 + 0 + 4 + 20 + 6 + 6 + 5 + 0 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104206650623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5314759 + ... + 5334329.

Almost surely, 2104206650624 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 104206650624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150299416176).

104206650624 is an abundant number, since it is smaller than the sum of its proper divisors (196392181728).

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

104206650624 is a wasteful number, since it uses less digits than its factorization.

104206650624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21904 (or 21887 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 104206650624 in words is "one hundred four billion, two hundred six million, six hundred fifty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2311 4622 6933 9244 13866 18488 19571 20799 27732 36976 39142 41598 55464 58713 73952 78284 83196 110928 117426 147904 156568 166392 176139 221856 234852 295808 313136 332784 352278 443712 469704 591616 626272 665568 704556 887424 939408 1252544 1331136 1409112 1774848 1878816 2505088 2662272 2818224 3757632 5010176 5324544 5636448 7515264 11272896 15030528 22545792 45091584 45228581 90457162 135685743 180914324 271371486 361828648 407057229 542742972 723657296 814114458 1085485944 1447314592 1628228916 2170971888 2894629184 3256457832 4341943776 5789258368 6512915664 8683887552 11578516736 13025831328 17367775104 26051662656 34735550208 52103325312 104206650624