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426155551624 = 231161173458891
BaseRepresentation
bin1100011001110001101…
…10011010101110001000
31111201222111212001122001
412030320312122232020
523440231310122444
6523435000240344
742534350264365
oct6147066325610
91451874761561
10426155551624
11154805776470
126a7127700b4
13312563a57ca
14168a9bc946c
15b142c768d4
hex6338d9ab88

426155551624 has 64 divisors (see below), whose sum is σ = 891094841280. Its totient is φ = 189429792000.

The previous prime is 426155551579. The next prime is 426155551643.

426155551624 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699219 + ... + 1158109.

It is an arithmetic number, because the mean of its divisors is an integer number (13923356895).

Almost surely, 2426155551624 is an apocalyptic number.

426155551624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426155551624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445547420640).

426155551624 is an abundant number, since it is smaller than the sum of its proper divisors (464939289656).

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

426155551624 is a wasteful number, since it uses less digits than its factorization.

426155551624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459142 (or 459138 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 46.

It can be divided in two parts, 426155 and 551624, that added together give a palindrome (977779).

The spelling of 426155551624 in words is "four hundred twenty-six billion, one hundred fifty-five million, five hundred fifty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 61 88 122 173 244 346 488 671 692 1342 1384 1903 2684 3806 5368 7612 10553 15224 21106 42212 84424 116083 232166 458891 464332 917782 928664 1835564 3671128 5047801 10095602 20191204 27992351 40382408 55984702 79388143 111969404 158776286 223938808 307915861 317552572 615831722 635105144 873269573 1231663444 1746539146 2463326888 3493078292 4842676723 6986156584 9685353446 19370706892 38741413784 53269443953 106538887906 213077775812 426155551624