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133469984471040 = 21132571732293769
BaseRepresentation
bin11110010110001111100111…
…000000110011100000000000
3122111120121100200222102100200
4132112033213000303200000
5114443233012011033130
61151511133035445200
740053613432101360
oct3626174700634000
9574517320872320
10133469984471040
1139589336751218
1212b774638b6800
13596221c891719
1424d5da5b8a9a0
151066cd977a760
hex7963e7033800

133469984471040 has 1152 divisors, whose sum is σ = 560086201584000. Its totient is φ = 28696362614784.

The previous prime is 133469984471017. The next prime is 133469984471059. The reversal of 133469984471040 is 40174489964331.

133469984471040 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 69 + 98 + 447 + 1 + 0 + 40 = 666.

133469984471040 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 (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35412570276 + ... + 35412574044.

It is an arithmetic number, because the mean of its divisors is an integer number (486185938875).

Almost surely, 2133469984471040 is an apocalyptic number.

133469984471040 is a gapful number since it is divisible by the number (10) 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 133469984471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280043100792000).

133469984471040 is an abundant number, since it is smaller than the sum of its proper divisors (426616217112960).

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

133469984471040 is a wasteful number, since it uses less digits than its factorization.

133469984471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 133469984471040 in words is "one hundred thirty-three trillion, four hundred sixty-nine billion, nine hundred eighty-four million, four hundred seventy-one thousand, forty".