Search a number
-
+
42555511555524 = 22331135821137673
BaseRepresentation
bin10011010110100001110100…
…01001100100010111000100
312120200021012202202202222000
421223100322021210113010
521034212141424234044
6230301422045505300
711651351150624052
oct1153207211442704
9176607182682860
1042555511555524
1112617766942670
124933662872230
131a98c76847b76
14a719aa8a31d2
154dbe76ec5d69
hex26b43a2645c4

42555511555524 has 48 divisors (see below), whose sum is σ = 120359022584640. Its totient is φ = 12895609561920.

The previous prime is 42555511555511. The next prime is 42555511555537.

42555511555524 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 5 + 51 + 15 + 55 + 524 = 666.

42555511555524 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42555511555511) and next prime (42555511555537).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17910567649 + ... + 17910570024.

It is an arithmetic number, because the mean of its divisors is an integer number (2507479637180).

Almost surely, 242555511555524 is an apocalyptic number.

42555511555524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42555511555524 is an abundant number, since it is smaller than the sum of its proper divisors (77803511029116).

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

42555511555524 is a wasteful number, since it uses less digits than its factorization.

42555511555524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35821137697 (or 35821137689 counting only the distinct ones).

The product of its digits is 25000000, while the sum is 54.

The spelling of 42555511555524 in words is "forty-two trillion, five hundred fifty-five billion, five hundred eleven million, five hundred fifty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 35821137673 71642275346 107463413019 143284550692 214926826038 322390239057 394032514403 429853652076 644780478114 788065028806 967170717171 1182097543209 1289560956228 1576130057612 1934341434342 2364195086418 3546292629627 3868682868684 4728390172836 7092585259254 10638877888881 14185170518508 21277755777762 42555511555524