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42729697400 = 23521316434499
BaseRepresentation
bin100111110010111000…
…110111000001111000
311002021220110112101012
4213302320313001320
51200002300304100
631344005413052
73041611302155
oct476270670170
9132256415335
1042729697400
1117137889105
12834610a188
13404c766320
1420d4d3122c
1511a1486135
hex9f2e37078

42729697400 has 48 divisors (see below), whose sum is σ = 106988595000. Its totient is φ = 15777118080.

The previous prime is 42729697397. The next prime is 42729697481. The reversal of 42729697400 is 479692724.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 8214650 + ... + 8219849.

Almost surely, 242729697400 is an apocalyptic number.

42729697400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42729697400 is an abundant number, since it is smaller than the sum of its proper divisors (64258897600).

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

42729697400 is a wasteful number, since it uses less digits than its factorization.

42729697400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16434528 (or 16434519 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 42729697400 in words is "forty-two billion, seven hundred twenty-nine million, six hundred ninety-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 16434499 32868998 65737996 82172495 131475992 164344990 213648487 328689980 410862475 427296974 657379960 821724950 854593948 1068242435 1643449900 1709187896 2136484870 3286899800 4272969740 5341212175 8545939480 10682424350 21364848700 42729697400