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425316613524 = 2231122375719087
BaseRepresentation
bin1100011000001101101…
…10000111110110010100
31111122211001020120220120
412030012312013312110
523432022023113044
6523215431031540
742504512364615
oct6140666076624
91448731216816
10425316613524
1115441515a8a0
126a51980b5b0
133115163b52a
141682a605c0c
15b0e42ac519
hex6306d87d94

425316613524 has 96 divisors (see below), whose sum is σ = 1088972537856. Its totient is φ = 128129662080.

The previous prime is 425316613441. The next prime is 425316613531.

425316613524 is nontrivially palindromic in base 10.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 22273509 + ... + 22292595.

It is an arithmetic number, because the mean of its divisors is an integer number (11343463936).

Almost surely, 2425316613524 is an apocalyptic number.

425316613524 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 425316613524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544486268928).

425316613524 is an abundant number, since it is smaller than the sum of its proper divisors (663655924332).

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

425316613524 is a wasteful number, since it uses less digits than its factorization.

425316613524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20085 (or 20083 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 425316613524 in words is "four hundred twenty-five billion, three hundred sixteen million, six hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 757 892 1338 1514 2271 2453 2676 3028 4542 4906 7359 8327 9084 9812 14718 16654 19087 24981 29436 33308 38174 49962 57261 76348 99924 114522 168811 209957 229044 337622 419914 506433 629871 675244 839828 1012866 1259742 1856921 2025732 2519484 3713842 4256401 5570763 7427684 8512802 11141526 12769203 14448859 17025604 22283052 25538406 28897718 43346577 46820411 51076812 57795436 86693154 93640822 140461233 158937449 173386308 187281644 280922466 317874898 476812347 561844932 635749796 953624694 1907249388 3222095557 6444191114 9666286671 12888382228 19332573342 35443051127 38665146684 70886102254 106329153381 141772204508 212658306762 425316613524