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83406296393910 = 23257269492159653
BaseRepresentation
bin10010111101101110001010…
…101010110010100010110110
3101221022120020012110121202100
4102331232022222302202312
541413012043334101120
6453220153521522530
723365622530544130
oct2275561252624266
9357276205417670
1083406296393910
1124637458a0a146
129430847aa3446
133770245603809
141684c59d74050
159998c8709490
hex4bdb8aab28b6

83406296393910 has 96 divisors (see below), whose sum is σ = 248757175517760. Its totient is φ = 18993425289984.

The previous prime is 83406296393899. The next prime is 83406296394013. The reversal of 83406296393910 is 1939369260438.

83406296393910 is a `hidden beast` number, since 8 + 340 + 62 + 9 + 63 + 93 + 91 + 0 = 666.

83406296393910 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×834062963939102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245910357 + ... + 246249296.

It is an arithmetic number, because the mean of its divisors is an integer number (2591220578310).

Almost surely, 283406296393910 is an apocalyptic number.

83406296393910 is an abundant number, since it is smaller than the sum of its proper divisors (165350879123850).

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

83406296393910 is a wasteful number, since it uses less digits than its factorization.

83406296393910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492159942 (or 492159939 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 83406296393910 in words is "eighty-three trillion, four hundred six billion, two hundred ninety-six million, three hundred ninety-three thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 269 315 538 630 807 1345 1614 1883 2421 2690 3766 4035 4842 5649 8070 9415 11298 12105 16947 18830 24210 28245 33894 56490 84735 169470 492159653 984319306 1476478959 2460798265 2952957918 3445117571 4429436877 4921596530 6890235142 7382394795 8858873754 10335352713 14764789590 17225587855 20670705426 22147184385 31006058139 34451175710 44294368770 51676763565 62012116278 103353527130 132390946657 155030290695 264781893314 310060581390 397172839971 661954733285 794345679942 926736626599 1191518519913 1323909466570 1853473253198 1985864199855 2383037039826 2780209879797 3971728399710 4633683132995 5560419759594 5957592599565 8340629639391 9267366265990 11915185199130 13901049398985 16681259278782 27802098797970 41703148196955 83406296393910