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426327723624 = 2331113112327311
BaseRepresentation
bin1100011010000110001…
…11001100111001101000
31111202102111211022012210
412031003013030321220
523441104344123444
6523504030405120
742541540600515
oct6150307147150
91452374738183
10426327723624
11154893981880
126a7603607a0
1331282c6862a
14168c4a0630c
15b152e357b9
hex63431cce68

426327723624 has 64 divisors (see below), whose sum is σ = 1171587732480. Its totient is φ = 128204024000.

The previous prime is 426327723607. The next prime is 426327723629.

It is a happy number.

426327723624 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (426327723629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6129072 + ... + 6198239.

It is an arithmetic number, because the mean of its divisors is an integer number (18306058320).

Almost surely, 2426327723624 is an apocalyptic number.

426327723624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

426327723624 is an abundant number, since it is smaller than the sum of its proper divisors (745260008856).

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

426327723624 is a wasteful number, since it uses less digits than its factorization.

426327723624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327462 (or 12327458 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 48.

The spelling of 426327723624 in words is "four hundred twenty-six billion, three hundred twenty-seven million, seven hundred twenty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2882 3144 4323 5764 8646 11528 17292 34584 12327311 24654622 36981933 49309244 73963866 98618488 135600421 147927732 271200842 295855464 406801263 542401684 813602526 1084803368 1614877741 1627205052 3229755482 3254410104 4844633223 6459510964 9689266446 12919021928 17763655151 19378532892 35527310302 38757065784 53290965453 71054620604 106581930906 142109241208 213163861812 426327723624