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42077856348 = 22341111806357
BaseRepresentation
bin100111001100000010…
…010010001001011100
311000121110220120120000
4213030002102021130
51142133412400343
631155202254300
73016504610013
oct471402221134
9130543816500
1042077856348
11169329422a0
1281a3957390
133c776b9368
142072531a7a
151164127ed3
hex9cc09225c

42077856348 has 60 divisors (see below), whose sum is σ = 119999822712. Its totient is φ = 12750864480.

The previous prime is 42077856329. The next prime is 42077856389. The reversal of 42077856348 is 84365877024.

42077856348 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 78 + 563 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42077856294 and 42077856303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5899615 + ... + 5906742.

Almost surely, 242077856348 is an apocalyptic number.

It is an amenable number.

42077856348 is an abundant number, since it is smaller than the sum of its proper divisors (77921966364).

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

42077856348 is a wasteful number, since it uses less digits than its factorization.

42077856348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11806384 (or 11806373 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 42077856348 in words is "forty-two billion, seventy-seven million, eight hundred fifty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 11806357 23612714 35419071 47225428 70838142 106257213 129869927 141676284 212514426 259739854 318771639 389609781 425028852 519479708 637543278 779219562 956314917 1168829343 1275086556 1558439124 1912629834 2337658686 3506488029 3825259668 4675317372 7012976058 10519464087 14025952116 21038928174 42077856348