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32429424944 = 2471741715851
BaseRepresentation
bin11110001100111100…
…011100000100110000
310002201001200110212202
4132030330130010300
51012403413044234
622521535042332
72225426364260
oct361474340460
9102631613782
1032429424944
1112831623a44
1263506703a8
13309a7b4057
1417d8d677a0
15c9c06377e
hex78cf1c130

32429424944 has 160 divisors (see below), whose sum is σ = 78996943872. Its totient is φ = 12579840000.

The previous prime is 32429424943. The next prime is 32429424953. The reversal of 32429424944 is 44942492423.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32429424943) 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, 5539619 + ... + 5545469.

Almost surely, 232429424944 is an apocalyptic number.

32429424944 is a gapful number since it is divisible by the number (34) 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 32429424944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39498471936).

32429424944 is an abundant number, since it is smaller than the sum of its proper divisors (46567518928).

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

32429424944 is a wasteful number, since it uses less digits than its factorization.

32429424944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995 (or 5989 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 47.

The spelling of 32429424944 in words is "thirty-two billion, four hundred twenty-nine million, four hundred twenty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 68 71 82 112 119 136 142 164 238 272 284 287 328 476 497 568 574 656 697 952 994 1136 1148 1207 1394 1904 1988 2296 2414 2788 2911 3976 4592 4828 4879 5576 5822 5851 7952 8449 9656 9758 11152 11644 11702 16898 19312 19516 20377 23288 23404 33796 39032 40754 40957 46576 46808 49487 67592 78064 81508 81914 93616 98974 99467 135184 163016 163828 197948 198934 239891 326032 327656 346409 395896 397868 415421 479782 655312 692818 696269 791792 795736 830842 959564 1385636 1392538 1591472 1661684 1679237 1919128 2771272 2785076 2907947 3323368 3358474 3838256 4078147 5542544 5570152 5815894 6646736 6716948 7062157 8156294 11140304 11631788 13433896 14124314 16312588 17032261 23263576 26867792 28248628 28547029 32625176 34064522 46527152 49435099 56497256 57094058 65250352 68129044 98870198 112994512 114188116 119225827 136258088 197740396 228376232 238451654 272516176 289548437 395480792 456752464 476903308 579096874 790961584 953806616 1158193748 1907613232 2026839059 2316387496 4053678118 4632774992 8107356236 16214712472 32429424944