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92098649640 = 23351675218821
BaseRepresentation
bin101010111000110000…
…0011101111000101000
322210201111212011012210
41111301200131320220
53002104223242030
6110150505405120
76440201414424
oct1256140357050
9283644764183
1092098649640
1136071317688
1215a237997a0
1388b98595ba
144659915b84
1525e0728bb0
hex157181de28

92098649640 has 128 divisors (see below), whose sum is σ = 278515480320. Its totient is φ = 24362956800.

The previous prime is 92098649603. The next prime is 92098649683. The reversal of 92098649640 is 4694689029.

It is a super-2 number, since 2×920986496402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10436430 + ... + 10445250.

It is an arithmetic number, because the mean of its divisors is an integer number (2175902190).

Almost surely, 292098649640 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 92098649640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139257740160).

92098649640 is an abundant number, since it is smaller than the sum of its proper divisors (186416830680).

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

92098649640 is a wasteful number, since it uses less digits than its factorization.

92098649640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 92098649640 in words is "ninety-two billion, ninety-eight million, six hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 521 668 835 1002 1042 1336 1563 1670 2004 2084 2505 2605 3126 3340 4008 4168 5010 5210 6252 6680 7815 8821 10020 10420 12504 15630 17642 20040 20840 26463 31260 35284 44105 52926 62520 70568 87007 88210 105852 132315 174014 176420 211704 261021 264630 348028 352840 435035 522042 529260 696056 870070 1044084 1058520 1305105 1473107 1740140 2088168 2610210 2946214 3480280 4419321 4595741 5220420 5892428 7365535 8838642 9191482 10440840 11784856 13787223 14731070 17677284 18382964 22096605 22978705 27574446 29462140 35354568 36765928 44193210 45957410 55148892 58924280 68936115 88386420 91914820 110297784 137872230 176772840 183829640 275744460 551488920 767488747 1534977494 2302466241 3069954988 3837443735 4604932482 6139909976 7674887470 9209864964 11512331205 15349774940 18419729928 23024662410 30699549880 46049324820 92098649640