Search a number
-
+
133401792670398 = 23272675414172737
BaseRepresentation
bin11110010101010000000110…
…011101101110101010111110
3122111100002100022002000200200
4132111100012131232222332
5114441123332410423043
61151415534300504330
740045650532256100
oct3625200635565276
9574302308060620
10133401792670398
113956242320408a
1212b661b254b0a6
135958972c48225
1424d2977383570
151065147c927d3
hex79540676eabe

133401792670398 has 144 divisors (see below), whose sum is σ = 341876129731344. Its totient is φ = 37476510382080.

The previous prime is 133401792670387. The next prime is 133401792670417. The reversal of 133401792670398 is 893076297104331.

It is a happy number.

133401792670398 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 179 + 2 + 6 + 70 + 398 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29883486 + ... + 34056222.

It is an arithmetic number, because the mean of its divisors is an integer number (2374139789801).

Almost surely, 2133401792670398 is an apocalyptic number.

133401792670398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133401792670398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170938064865672).

133401792670398 is an abundant number, since it is smaller than the sum of its proper divisors (208474337060946).

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

133401792670398 is a wasteful number, since it uses less digits than its factorization.

133401792670398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173367 (or 4173357 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 133401792670398 in words is "one hundred thirty-three trillion, four hundred one billion, seven hundred ninety-two million, six hundred seventy thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 294 402 441 469 541 603 882 938 1082 1206 1407 1623 2814 3246 3283 3787 4221 4869 6566 7574 8442 9738 9849 11361 19698 22722 26509 29547 34083 36247 53018 59094 68166 72494 79527 108741 159054 217482 238581 253729 326223 477162 507458 652446 761187 1522374 1776103 2283561 3552206 4172737 4567122 5328309 8345474 10656618 12518211 15984927 25036422 29209159 31969854 37554633 58418318 75109266 87627477 175254954 204464113 262882431 279573379 408928226 525764862 559146758 613392339 838720137 1226784678 1677440274 1840177017 1957013653 2257450717 2516160411 3680354034 3914027306 4514901434 5032320822 5871040959 6772352151 11742081918 13544704302 13699095571 15802155019 17613122877 20317056453 27398191142 31604310038 35226245754 40634112906 41097286713 47406465057 82194573426 94812930114 110615085133 123291860139 142219395171 151249198039 221230170266 246583720278 284438790342 302498396078 331845255399 453747594117 663690510798 907495188234 995535766197 1058744386273 1361242782351 1991071532394 2117488772546 2722485564702 3176233158819 6352466317638 7411210703911 9528699476457 14822421407822 19057398952914 22233632111733 44467264223466 66700896335199 133401792670398