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82010739426 = 23711253304481
BaseRepresentation
bin100110001100000111…
…0001001001011100010
321211200110200012221120
41030120032021023202
52320424222130201
6101401502433110
75632205532450
oct1143016111342
9254613605846
1082010739426
1131864a19400
1213a89292796
13796c89c465
143d7dc2b9d0
1521eeca3536
hex13183892e2

82010739426 has 96 divisors (see below), whose sum is σ = 209931813504. Its totient is φ = 20899507200.

The previous prime is 82010739407. The next prime is 82010739443. The reversal of 82010739426 is 62493701028.

It is a super-2 number, since 2×820107394262 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 117106 + ... + 421586.

It is an arithmetic number, because the mean of its divisors is an integer number (2186789724).

Almost surely, 282010739426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82010739426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104965906752).

82010739426 is an abundant number, since it is smaller than the sum of its proper divisors (127921074078).

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

82010739426 is a wasteful number, since it uses less digits than its factorization.

82010739426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304568 (or 304557 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 82010739426 in words is "eighty-two billion, ten million, seven hundred thirty-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 121 154 159 231 242 318 363 371 462 583 726 742 847 1113 1166 1694 1749 2226 2541 3498 4081 5082 6413 8162 12243 12826 19239 24486 38478 44891 89782 134673 269346 304481 608962 913443 1826886 2131367 3349291 4262734 6394101 6698582 10047873 12788202 16137493 20095746 23445037 32274986 36842201 46890074 48412479 70335111 73684402 96824958 110526603 112962451 140670222 177512423 221053206 225924902 257895407 338887353 355024846 515790814 532537269 677774706 773686221 1065074538 1242586961 1547372442 1952636653 2485173922 3727760883 3905273306 5857909959 7455521766 11715819918 13668456571 27336913142 41005369713 82010739426