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43137443832 = 23371725758771
BaseRepresentation
bin101000001011001100…
…010010011111111000
311010100022201012022220
4220023030102133320
51201321141200312
631452253044040
73054662136240
oct501314223770
9133308635286
1043137443832
1117326a6502a
12843a786620
1340b608a7c2
142133150b20
1511c7179c8c
hexa0b3127f8

43137443832 has 128 divisors (see below), whose sum is σ = 131009840640. Its totient is φ = 11554652160.

The previous prime is 43137443821. The next prime is 43137443887. The reversal of 43137443832 is 23834473134.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704607 + ... + 763377.

It is an arithmetic number, because the mean of its divisors is an integer number (1023514380).

Almost surely, 243137443832 is an apocalyptic number.

43137443832 is a gapful number since it is divisible by the number (42) 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 43137443832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65504920320).

43137443832 is an abundant number, since it is smaller than the sum of its proper divisors (87872396808).

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

43137443832 is a wasteful number, since it uses less digits than its factorization.

43137443832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59061 (or 59057 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The spelling of 43137443832 in words is "forty-three billion, one hundred thirty-seven million, four hundred forty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 257 357 408 476 514 714 771 952 1028 1428 1542 1799 2056 2856 3084 3598 4369 5397 6168 7196 8738 10794 13107 14392 17476 21588 26214 30583 34952 43176 52428 58771 61166 91749 104856 117542 122332 176313 183498 235084 244664 352626 366996 411397 470168 705252 733992 822794 999107 1234191 1410504 1645588 1998214 2468382 2997321 3291176 3996428 4936764 5994642 6993749 7992856 9873528 11989284 13987498 15104147 20981247 23978568 27974996 30208294 41962494 45312441 55949992 60416588 83924988 90624882 105729029 120833176 167849976 181249764 211458058 256770499 317187087 362499528 422916116 513540998 634374174 770311497 845832232 1027081996 1268748348 1540622994 1797393493 2054163992 2537496696 3081245988 3594786986 5392180479 6162491976 7189573972 10784360958 14379147944 21568721916 43137443832