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10834939980 = 22325292075659
BaseRepresentation
bin10100001011101000…
…00001000001001100
31000222002211222110100
422011310001001030
5134142221034410
64551050211100
7532333320204
oct120564010114
930862758410
1010834939980
11466004a857
122124723a90
1310389849b7
1474adc5404
154363378c0
hex285d0104c

10834939980 has 72 divisors (see below), whose sum is σ = 33999310800. Its totient is φ = 2789684352.

The previous prime is 10834939979. The next prime is 10834940023. The reversal of 10834939980 is 8993943801.

It is a super-3 number, since 3×108349399803 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032610 + ... + 1043049.

It is an arithmetic number, because the mean of its divisors is an integer number (472212650).

Almost surely, 210834939980 is an apocalyptic number.

10834939980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10834939980 is an abundant number, since it is smaller than the sum of its proper divisors (23164370820).

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

10834939980 is a wasteful number, since it uses less digits than its factorization.

10834939980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075703 (or 2075698 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 10834939980 in words is "ten billion, eight hundred thirty-four million, nine hundred thirty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 2075659 4151318 6226977 8302636 10378295 12453954 18680931 20756590 24907908 31134885 37361862 41513180 60194111 62269770 74723724 93404655 120388222 124539540 180582333 186809310 240776444 300970555 361164666 373618620 541746999 601941110 722329332 902911665 1083493998 1203882220 1805823330 2166987996 2708734995 3611646660 5417469990 10834939980