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42755460516 = 22321187651681
BaseRepresentation
bin100111110100011011…
…001000110110100100
311002100200221102201200
4213310123020312210
51200030344214031
631350325522500
73042343263246
oct476433106644
9132320842650
1042755460516
111715038533a
128352873430
134054bb6982
1420d851a096
1511a38748e6
hex9f46c8da4

42755460516 has 18 divisors (see below), whose sum is σ = 108076303062. Its totient is φ = 14251820160.

The previous prime is 42755460497. The next prime is 42755460563. The reversal of 42755460516 is 61506455724.

42755460516 is a `hidden beast` number, since 4 + 2 + 75 + 5 + 4 + 60 + 516 = 666.

42755460516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32454022500 + 10301438016 = 180150^2 + 101496^2 .

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, 593825805 + ... + 593825876.

It is an arithmetic number, because the mean of its divisors is an integer number (6004239059).

Almost surely, 242755460516 is an apocalyptic number.

It is an amenable number.

42755460516 is an abundant number, since it is smaller than the sum of its proper divisors (65320842546).

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

42755460516 is a wasteful number, since it uses less digits than its factorization.

42755460516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187651691 (or 1187651686 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 42755460516 in words is "forty-two billion, seven hundred fifty-five million, four hundred sixty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1187651681 2375303362 3562955043 4750606724 7125910086 10688865129 14251820172 21377730258 42755460516