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133464363431120 = 2455236135203711
BaseRepresentation
bin11110010110001010010111…
…111110001111010011010000
3122111120001211222000000011222
4132112022113332033103100
5114443140004014243440
61151504403201224212
740053324226045031
oct3626122776172320
9574501758000158
10133464363431120
1139586a11825787
1212b76355332068
13596183517b6b7
1424d59d1426a88
151066aab04c2b5
hex796297f8f4d0

133464363431120 has 80 divisors (see below), whose sum is σ = 311405196029952. Its totient is φ = 53196736366080.

The previous prime is 133464363431101. The next prime is 133464363431141. The reversal of 133464363431120 is 21134363464331.

133464363431120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23046065 + ... + 28249775.

Almost surely, 2133464363431120 is an apocalyptic number.

133464363431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133464363431120 is an abundant number, since it is smaller than the sum of its proper divisors (177940832598832).

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

133464363431120 is a wasteful number, since it uses less digits than its factorization.

133464363431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204860 (or 5204854 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 44.

The spelling of 133464363431120 in words is "one hundred thirty-three trillion, four hundred sixty-four billion, three hundred sixty-three million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 523 613 1046 1226 2092 2452 2615 3065 4184 4904 5230 6130 8368 9808 10460 12260 20920 24520 41840 49040 320599 641198 1282396 1602995 2564792 3205990 5129584 5203711 6411980 10407422 12823960 20814844 25647920 26018555 41629688 52037110 83259376 104074220 208148440 416296880 2721540853 3189874843 5443081706 6379749686 10886163412 12759499372 13607704265 15949374215 21772326824 25518998744 27215408530 31898748430 43544653648 51037997488 54430817060 63797496860 108861634120 127594993720 217723268240 255189987440 1668304542889 3336609085778 6673218171556 8341522714445 13346436343112 16683045428890 26692872686224 33366090857780 66732181715560 133464363431120