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42958022480 = 2452918516389
BaseRepresentation
bin101000000000011111…
…110110011101010000
311002212211002122111122
4220000133312131100
51200434223204410
631422403301412
73050353111022
oct500037663520
9132784078448
1042958022480
111724475811a
1283aa67a868
134087b5a119
1421173a8012
1511b6537e55
hexa007f6750

42958022480 has 40 divisors (see below), whose sum is σ = 103321456200. Its totient is φ = 16590683648.

The previous prime is 42958022477. The next prime is 42958022501. The reversal of 42958022480 is 8422085924.

It can be written as a sum of positive squares in 4 ways, for example, as 9232903744 + 33725118736 = 96088^2 + 183644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 9255875 + ... + 9260514.

It is an arithmetic number, because the mean of its divisors is an integer number (2583036405).

Almost surely, 242958022480 is an apocalyptic number.

42958022480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42958022480 is an abundant number, since it is smaller than the sum of its proper divisors (60363433720).

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

42958022480 is a wasteful number, since it uses less digits than its factorization.

42958022480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18516431 (or 18516425 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 42958022480 in words is "forty-two billion, nine hundred fifty-eight million, twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 18516389 37032778 74065556 92581945 148131112 185163890 296262224 370327780 536975281 740655560 1073950562 1481311120 2147901124 2684876405 4295802248 5369752810 8591604496 10739505620 21479011240 42958022480