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134326649808 = 243313106322501
BaseRepresentation
bin111110100011001111…
…1100000001111010000
3110211201110021211101000
41331012133200033100
54200100110243213
6141413034142000
712463511453511
oct1750637401720
9424643254330
10134326649808
1151a7098a17a
1222049881900
13c889395150
146703d6ca08
153762b0dc73
hex1f467e03d0

134326649808 has 160 divisors (see below), whose sum is σ = 415635342080. Its totient is φ = 41290560000.

The previous prime is 134326649771. The next prime is 134326649813. The reversal of 134326649808 is 808946623431.

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

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 31 ways as a sum of consecutive naturals, for example, 5958558 + ... + 5981058.

It is an arithmetic number, because the mean of its divisors is an integer number (2597720888).

Almost surely, 2134326649808 is an apocalyptic number.

134326649808 is a gapful number since it is divisible by the number (18) 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 134326649808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207817671040).

134326649808 is an abundant number, since it is smaller than the sum of its proper divisors (281308692272).

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

134326649808 is a wasteful number, since it uses less digits than its factorization.

134326649808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23594 (or 23582 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 134326649808 in words is "one hundred thirty-four billion, three hundred twenty-six million, six hundred forty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1063 1404 1872 2126 2808 3189 4252 5616 6378 8504 9567 12756 13819 17008 19134 22501 25512 27638 28701 38268 41457 45002 51024 55276 57402 67503 76536 82914 90004 110552 114804 124371 135006 153072 165828 180008 202509 221104 229608 248742 270012 292513 331656 360016 373113 405018 459216 497484 540024 585026 607527 663312 746226 810036 877539 994968 1080048 1170052 1215054 1492452 1620072 1755078 1989936 2340104 2430108 2632617 2984904 3240144 3510156 4680208 4860216 5265234 5969808 7020312 7897851 9720432 10530468 14040624 15795702 21060936 23918563 31591404 42121872 47837126 63182808 71755689 95674252 126365616 143511378 191348504 215267067 287022756 310941319 382697008 430534134 574045512 621882638 645801201 861068268 932823957 1148091024 1243765276 1291602402 1722136536 1865647914 2487530552 2583204804 2798471871 3444273072 3731295828 4975061104 5166409608 5596943742 7462591656 8395415613 10332819216 11193887484 14925183312 16790831226 22387774968 33581662452 44775549936 67163324904 134326649808