Search a number
-
+
426624250211055 = 335131912794249519
BaseRepresentation
bin110000100000000110011001…
…0111000101110101011101111
32001221112212202112011120221000
41201000030302320232223233
5421404302431023223210
64111204250324411343
7155601404425505301
oct14100146270565357
92057485675146830
10426624250211055
11113a3236819a116
123ba2277a246b53
1315408656902890
14774ca1c4a7971
15344c720c32ac0
hex1840332e2eaef

426624250211055 has 64 divisors (see below), whose sum is σ = 859773567744000. Its totient is φ = 198976168503936.

The previous prime is 426624250211053. The next prime is 426624250211113. The reversal of 426624250211055 is 550112052426624.

426624250211055 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 2 + 425 + 0 + 211 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 426624250211055 - 21 = 426624250211053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 426624250211055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426624250211053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6397091415 + ... + 6397158104.

It is an arithmetic number, because the mean of its divisors is an integer number (13433961996000).

Almost surely, 2426624250211055 is an apocalyptic number.

426624250211055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

426624250211055 is an abundant number, since it is smaller than the sum of its proper divisors (433149317532945).

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

426624250211055 is a wasteful number, since it uses less digits than its factorization.

426624250211055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12794249565 (or 12794249559 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 426624250211055 in words is "four hundred twenty-six trillion, six hundred twenty-four billion, two hundred fifty million, two hundred eleven thousand, fifty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 513 585 741 855 1235 1755 2223 2565 3705 6669 11115 33345 12794249519 38382748557 63971247595 115148245671 166325243747 191913742785 243090740861 345444737013 498975731241 575741228355 729272222583 831626218735 1215453704305 1496927193723 1727223685065 2187816667749 2494878656205 3160179631193 3646361112915 4490781581169 6563450003247 7484635968615 9480538893579 10939083338745 15800898155965 22453907905845 28441616680737 32817250016235 47402694467895 85324850042211 142208083403685 426624250211055