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42729681740 = 225107173211547
BaseRepresentation
bin100111110010111000…
…110011001101001100
311002021220102201220012
4213302320303031030
51200002244303430
631344005212352
73041611205414
oct476270631514
9132256381805
1042729681740
1117137878369
1283461010b8
13404c75c165
1420d4d29644
1511a1481695
hex9f2e3334c

42729681740 has 96 divisors (see below), whose sum is σ = 91693534464. Its totient is φ = 16723848960.

The previous prime is 42729681703. The next prime is 42729681791. The reversal of 42729681740 is 4718692724.

It is a happy 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, 78116147 + ... + 78116693.

It is an arithmetic number, because the mean of its divisors is an integer number (955140984).

Almost surely, 242729681740 is an apocalyptic number.

It is an amenable number.

42729681740 is an abundant number, since it is smaller than the sum of its proper divisors (48963852724).

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

42729681740 is a wasteful number, since it uses less digits than its factorization.

42729681740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 42729681740 in words is "forty-two billion, seven hundred twenty-nine million, six hundred eighty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 107 173 211 214 346 422 428 535 547 692 844 865 1055 1070 1094 1730 2110 2140 2188 2735 3460 4220 5470 10940 18511 22577 36503 37022 45154 58529 73006 74044 90308 92555 94631 112885 115417 117058 146012 182515 185110 189262 225770 230834 234116 292645 365030 370220 378524 451540 461668 473155 577085 585290 730060 946310 1154170 1170580 1892620 2308340 3905821 7811642 10125517 12349619 15623284 19529105 19967141 20251034 24699238 39058210 39934282 40502068 49398476 50627585 61748095 78116420 79868564 99835705 101255170 123496190 199671410 202510340 246992380 399342820 2136484087 4272968174 8545936348 10682420435 21364840870 42729681740