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426745432920 = 23358395344959
BaseRepresentation
bin1100011010111000000…
…00101000101101011000
31111210111121211010122110
412031130000220231120
523442433312323140
6524013311352320
742555102221052
oct6153400505530
91453447733573
10426745432920
11154a88742a74
126a8582226a0
133131b66a7b1
141692429a8d2
15b179946380
hex635c028b58

426745432920 has 128 divisors (see below), whose sum is σ = 1297049241600. Its totient is φ = 112307241984.

The previous prime is 426745432903. The next prime is 426745432921. The reversal of 426745432920 is 29234547624.

It is a super-2 number, since 2×4267454329202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426745432920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426745432921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9469401 + ... + 9514359.

It is an arithmetic number, because the mean of its divisors is an integer number (10133197200).

Almost surely, 2426745432920 is an apocalyptic number.

426745432920 is a gapful number since it is divisible by the number (40) 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 426745432920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648524620800).

426745432920 is an abundant number, since it is smaller than the sum of its proper divisors (870303808680).

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

426745432920 is a wasteful number, since it uses less digits than its factorization.

426745432920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46009 (or 46005 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 426745432920 in words is "four hundred twenty-six billion, seven hundred forty-five million, four hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 953 996 1245 1660 1906 1992 2490 2859 3320 3812 4765 4980 5718 7624 9530 9960 11436 14295 19060 22872 28590 38120 44959 57180 79099 89918 114360 134877 158198 179836 224795 237297 269754 316396 359672 395495 449590 474594 539508 632792 674385 790990 899180 949188 1079016 1186485 1348770 1581980 1798360 1898376 2372970 2697540 3163960 3731597 4745940 5395080 7463194 9491880 11194791 14926388 18657985 22389582 29852776 37315970 42845927 44779164 55973955 74631940 85691854 89558328 111947910 128537781 149263880 171383708 214229635 223895820 257075562 342767416 428459270 447791640 514151124 642688905 856918540 1028302248 1285377810 1713837080 2570755620 3556211941 5141511240 7112423882 10668635823 14224847764 17781059705 21337271646 28449695528 35562119410 42674543292 53343179115 71124238820 85349086584 106686358230 142248477640 213372716460 426745432920