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43929092934 = 23331374431601
BaseRepresentation
bin101000111010011000…
…001100001101000110
311012101111100010202000
4220322120030031012
51204431321433214
632103012530130
73113414062146
oct507230141506
9135344303660
1043929092934
11176a2911791
12861b920946
1341b10a861c
1421aa344926
151221902809
hexa3a60c346

43929092934 has 128 divisors (see below), whose sum is σ = 103791144960. Its totient is φ = 13747968000.

The previous prime is 43929092839. The next prime is 43929092939.

43929092934 is a `hidden beast` number, since 439 + 2 + 90 + 92 + 9 + 34 = 666.

43929092934 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43929092939) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27437734 + ... + 27439334.

It is an arithmetic number, because the mean of its divisors is an integer number (810868320).

Almost surely, 243929092934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43929092934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51895572480).

43929092934 is an abundant number, since it is smaller than the sum of its proper divisors (59862052026).

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

43929092934 is a wasteful number, since it uses less digits than its factorization.

43929092934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 43929092934 in words is "forty-three billion, nine hundred twenty-nine million, ninety-two thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 93 111 186 222 279 333 443 558 666 837 886 999 1147 1329 1601 1674 1998 2294 2658 3202 3441 3987 4803 6882 7974 9606 10323 11961 13733 14409 16391 20646 23922 27466 28818 30969 32782 41199 43227 49173 49631 59237 61938 82398 86454 98346 99262 118474 123597 147519 148893 177711 247194 295038 297786 355422 370791 442557 446679 508121 533133 709243 741582 885114 893358 1016242 1066266 1340037 1418486 1524363 1599399 1836347 2127729 2680074 3048726 3198798 3672694 4255458 4573089 5509041 6383187 9146178 11018082 12766374 13719267 16527123 19149561 21986533 26241991 27438534 33054246 38299122 43973066 49581369 52483982 65959599 78725973 99162738 131919198 157451946 197878797 236177919 395757594 472355838 593636391 708533757 813501721 1187272782 1417067514 1627003442 2440505163 4881010326 7321515489 14643030978 21964546467 43929092934