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412930269680 = 24531166504141
BaseRepresentation
bin1100000001001001000…
…11111110000111110000
31110110211211011010102212
412000210203332013300
523231140122112210
6513410400431252
741555540244155
oct6004443760760
91413754133385
10412930269680
1114a139410395
1268041618528
132cc294371a6
1415db357a22c
15ab1bb74805
hex60248fe1f0

412930269680 has 40 divisors (see below), whose sum is σ = 991032653184. Its totient is φ = 159843974400.

The previous prime is 412930269677. The next prime is 412930269721. The reversal of 412930269680 is 86962039214.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4129302696802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 83249591 + ... + 83254550.

Almost surely, 2412930269680 is an apocalyptic number.

412930269680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412930269680 is an abundant number, since it is smaller than the sum of its proper divisors (578102383504).

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

412930269680 is a wasteful number, since it uses less digits than its factorization.

412930269680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166504185 (or 166504179 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 412930269680 in words is "four hundred twelve billion, nine hundred thirty million, two hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 166504141 333008282 666016564 832520705 1332033128 1665041410 2664066256 3330082820 5161628371 6660165640 10323256742 13320331280 20646513484 25808141855 41293026968 51616283710 82586053936 103232567420 206465134840 412930269680