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42202620462624 = 2534103910712021
BaseRepresentation
bin10011001100010000100000…
…01100111000011000100000
312112102112100011220211201020
421212020100030320120200
521012421431314300444
6225431341033005440
711614016164053366
oct1146102014703040
9175375304824636
1042202620462624
11124a1038038446
124897198253880
131a718c8006aab
14a5c891097636
154d2bc1242119
hex266210338620

42202620462624 has 48 divisors (see below), whose sum is σ = 110784588485760. Its totient is φ = 14067196056320.

The previous prime is 42202620462601. The next prime is 42202620462641. The reversal of 42202620462624 is 42626402620224.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×422026204626242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1416267 + ... + 9295754.

It is an arithmetic number, because the mean of its divisors is an integer number (2308012260120).

Almost surely, 242202620462624 is an apocalyptic number.

It is an amenable number.

42202620462624 is an abundant number, since it is smaller than the sum of its proper divisors (68581968023136).

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

42202620462624 is a wasteful number, since it uses less digits than its factorization.

42202620462624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10753073 (or 10753065 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 42202620462624 in words is "forty-two trillion, two hundred two billion, six hundred twenty million, four hundred sixty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 41039 82078 123117 164156 246234 328312 492468 656624 984936 1313248 1969872 3939744 10712021 21424042 32136063 42848084 64272126 85696168 128544252 171392336 257088504 342784672 514177008 1028354016 439610629819 879221259638 1318831889457 1758442519276 2637663778914 3516885038552 5275327557828 7033770077104 10550655115656 14067540154208 21101310231312 42202620462624