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9940819290 = 2353127139443
BaseRepresentation
bin10010100001000010…
…01101110101011010
3221122210101221110020
421100201031311122
5130324322204130
64322230131310
7501225366303
oct112041156532
927583357406
109940819290
114241373736
121b151b0b36
13c256693bc
146a43597aa
153d2abce10
hex25084dd5a

9940819290 has 64 divisors (see below), whose sum is σ = 24719081472. Its totient is φ = 2555841600.

The previous prime is 9940819289. The next prime is 9940819307. The reversal of 9940819290 is 929180499.

It is a happy number.

It is a super-2 number, since 2×99408192902 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232309 + ... + 271751.

It is an arithmetic number, because the mean of its divisors is an integer number (386235648).

Almost surely, 29940819290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9940819290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359540736).

9940819290 is an abundant number, since it is smaller than the sum of its proper divisors (14778262182).

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

9940819290 is a wasteful number, since it uses less digits than its factorization.

9940819290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39755.

The product of its (nonzero) digits is 419904, while the sum is 51.

The square root of 9940819290 is about 99703.6573551843. The cubic root of 9940819290 is about 2150.1762458728.

The spelling of 9940819290 in words is "nine billion, nine hundred forty million, eight hundred nineteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 271 310 465 542 813 930 1355 1626 2710 4065 8130 8401 16802 25203 39443 42005 50406 78886 84010 118329 126015 197215 236658 252030 394430 591645 1183290 1222733 2445466 3668199 6113665 7336398 10689053 12227330 18340995 21378106 32067159 36681990 53445265 64134318 106890530 160335795 320671590 331360643 662721286 994081929 1656803215 1988163858 3313606430 4970409645 9940819290