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10405168380 = 22325431344337
BaseRepresentation
bin10011011000011001…
…00100010011111100
3222212011011022122200
421230030210103330
5132302210342010
64440254511500
7515564320605
oct115414442374
928764138580
1010405168380
11445a4a0012
122024805590
13c9a91b389
14709cb0dac
1540d742cc0
hex26c3244fc

10405168380 has 72 divisors (see below), whose sum is σ = 32296376112. Its totient is φ = 2710181376.

The previous prime is 10405168339. The next prime is 10405168381. The reversal of 10405168380 is 8386150401.

10405168380 is a `hidden beast` number, since 10 + 405 + 168 + 3 + 80 = 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 (10405168381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664429 + ... + 679908.

Almost surely, 210405168380 is an apocalyptic number.

10405168380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405168380 is an abundant number, since it is smaller than the sum of its proper divisors (21891207732).

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

10405168380 is a wasteful number, since it uses less digits than its factorization.

10405168380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344395 (or 1344390 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10405168380 in words is "ten billion, four hundred five million, one hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 1344337 2688674 4033011 5377348 6721685 8066022 12099033 13443370 16132044 20165055 24198066 26886740 40330110 48396132 57806491 60495165 80660220 115612982 120990330 173419473 231225964 241980660 289032455 346838946 520258419 578064910 693677892 867097365 1040516838 1156129820 1734194730 2081033676 2601292095 3468389460 5202584190 10405168380