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42546337956 = 22321181842721
BaseRepresentation
bin100111100111111101…
…011001100010100100
311001211010102220111200
4213213331121202210
51144113330303311
631313455402500
73034223622423
oct474775314244
9131733386450
1042546337956
1117053331481
1282b4823430
134020787305
1420b88412ba
151190317556
hex9e7f598a4

42546337956 has 18 divisors (see below), whose sum is σ = 107547687702. Its totient is φ = 14182112640.

The previous prime is 42546337927. The next prime is 42546337961. The reversal of 42546337956 is 65973364524.

42546337956 is a `hidden beast` number, since 4 + 2 + 546 + 3 + 3 + 7 + 95 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37409749056 + 5136588900 = 193416^2 + 71670^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 590921325 + ... + 590921396.

It is an arithmetic number, because the mean of its divisors is an integer number (5974871539).

Almost surely, 242546337956 is an apocalyptic number.

It is an amenable number.

42546337956 is an abundant number, since it is smaller than the sum of its proper divisors (65001349746).

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

42546337956 is a wasteful number, since it uses less digits than its factorization.

42546337956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181842731 (or 1181842726 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 42546337956 in words is "forty-two billion, five hundred forty-six million, three hundred thirty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1181842721 2363685442 3545528163 4727370884 7091056326 10636584489 14182112652 21273168978 42546337956