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201663642420 = 223251120353569
BaseRepresentation
bin1011101111010000010…
…1101111101100110100
3201021112021201110212100
42323310011233230310
511301001343024140
6232350515422100
720366261451312
oct2736405575464
9637467643770
10201663642420
1178585961399
12331008b4930
131602aba8a86
149a910210b2
1553a4545530
hex2ef416fb34

201663642420 has 36 divisors (see below), whose sum is σ = 611713049220. Its totient is φ = 53776971264.

The previous prime is 201663642283. The next prime is 201663642457. The reversal of 201663642420 is 24246366102.

201663642420 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 6 + 3 + 642 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32214506256 + 169449136164 = 179484^2 + 411642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560176605 + ... + 560176964.

It is an arithmetic number, because the mean of its divisors is an integer number (16992029145).

Almost surely, 2201663642420 is an apocalyptic number.

201663642420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201663642420 is an abundant number, since it is smaller than the sum of its proper divisors (410049406800).

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

201663642420 is a wasteful number, since it uses less digits than its factorization.

201663642420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120353584 (or 1120353579 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 201663642420 in words is "two hundred one billion, six hundred sixty-three million, six hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1120353569 2240707138 3361060707 4481414276 5601767845 6722121414 10083182121 11203535690 13444242828 16805303535 20166364242 22407071380 33610607070 40332728484 50415910605 67221214140 100831821210 201663642420