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131729770008 = 23324738927237
BaseRepresentation
bin111101010101110110…
…1001100011000011000
3110121000110210122222200
41322223231030120120
54124240310120013
6140303230050200
712342246366414
oct1725355143030
9417013718880
10131729770008
1150959025a21
1221644049960
13c564375495
1465390ddd44
15365eb47e73
hex1eabb4c618

131729770008 has 48 divisors (see below), whose sum is σ = 364358947680. Its totient is φ = 42975668544.

The previous prime is 131729769973. The next prime is 131729770031. The reversal of 131729770008 is 800077927131.

131729770008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 19460235 + ... + 19467002.

It is an arithmetic number, because the mean of its divisors is an integer number (7590811410).

Almost surely, 2131729770008 is an apocalyptic number.

131729770008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131729770008 is an abundant number, since it is smaller than the sum of its proper divisors (232629177672).

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

131729770008 is a wasteful number, since it uses less digits than its factorization.

131729770008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38927296 (or 38927289 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 131729770008 in words is "one hundred thirty-one billion, seven hundred twenty-nine million, seven hundred seventy thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 38927237 77854474 116781711 155708948 233563422 311417896 350345133 467126844 700690266 934253688 1401380532 1829580139 2802761064 3659160278 5488740417 7318320556 10977480834 14636641112 16466221251 21954961668 32932442502 43909923336 65864885004 131729770008