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6406014246146 = 2194161619108893
BaseRepresentation
bin101110100111000010000…
…1101000001110100000010
3211200102001010222021121022
41131032010031001310002
51314424004121334041
621342514325225442
71230551001443414
oct135160415016402
924612033867538
106406014246146
11204a859045a09
12875641262282
133761139b4368
141820a4a2c9b4
15b197d88024b
hex5d384341d02

6406014246146 has 64 divisors (see below), whose sum is σ = 10548431107200. Its totient is φ = 2907155059200.

The previous prime is 6406014246139. The next prime is 6406014246169. The reversal of 6406014246146 is 6416424106046.

It is a junction number, because it is equal to n+sod(n) for n = 6406014246097 and 6406014246106.

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, 58774076 + ... + 58882968.

It is an arithmetic number, because the mean of its divisors is an integer number (164819236050).

Almost surely, 26406014246146 is an apocalyptic number.

6406014246146 is a deficient number, since it is larger than the sum of its proper divisors (4142416861054).

6406014246146 is a wasteful number, since it uses less digits than its factorization.

6406014246146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109635.

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 6406014246146 in words is "six trillion, four hundred six billion, fourteen million, two hundred forty-six thousand, one hundred forty-six".

Divisors: 1 2 19 38 41 61 82 122 619 779 1159 1238 1558 2318 2501 5002 11761 23522 25379 37759 47519 50758 75518 95038 108893 217786 482201 717421 964402 1434842 1548119 2068967 3096238 4137934 4464613 6642473 8929226 13284946 29414261 58828522 67404767 84827647 126206987 134809534 169655294 252413974 272341393 544682786 1280690573 2561381146 2763595447 4111690787 5174486467 5527190894 8223381574 10348972934 52508313493 78122124953 105016626986 156244249906 168579322267 337158644534 3203007123073 6406014246146