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616420413006 = 2323431011028509
BaseRepresentation
bin10001111100001011000…
…01010000111001001110
32011221002101202110111220
420332011201100321032
540044412111204011
61151102444424210
762351321026146
oct10760541207116
92157071673456
10616420413006
11218471286962
129b571b48066
1346188851418
1421b98db1926
151107b70a506
hex8f85850e4e

616420413006 has 64 divisors (see below), whose sum is σ = 1329394429440. Its totient is φ = 190068278400.

The previous prime is 616420412999. The next prime is 616420413047. The reversal of 616420413006 is 600314024616.

It is a super-2 number, since 2×6164204130062 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 85080 + ... + 1113588.

It is an arithmetic number, because the mean of its divisors is an integer number (20771787960).

Almost surely, 2616420413006 is an apocalyptic number.

616420413006 is an abundant number, since it is smaller than the sum of its proper divisors (712974016434).

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

616420413006 is a wasteful number, since it uses less digits than its factorization.

616420413006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028681.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 616420413006 in words is "six hundred sixteen billion, four hundred twenty million, four hundred thirteen thousand, six".

Divisors: 1 2 3 6 23 43 46 69 86 101 129 138 202 258 303 606 989 1978 2323 2967 4343 4646 5934 6969 8686 13029 13938 26058 99889 199778 299667 599334 1028509 2057018 3085527 6171054 23655707 44225887 47311414 70967121 88451774 103879409 132677661 141934242 207758818 265355322 311638227 623276454 1017195401 2034390802 2389226407 3051586203 4466814587 4778452814 6103172406 7167679221 8933629174 13400443761 14335358442 26800887522 102736735501 205473471002 308210206503 616420413006