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133462346426094 = 237192237110750377
BaseRepresentation
bin11110010110001000011111…
…101111111110011011101110
3122111112212122101122112110010
4132112020133233332123232
5114443121341141113334
61151503431105554050
740053223234556640
oct3626103757763356
9574485571575403
10133462346426094
1139586077223a84
1212b75a91945926
1359615a332c1ba
1424d587d5c2890
1510669dde2b0e9
hex79621fbfe6ee

133462346426094 has 384 divisors, whose sum is σ = 343878183862272. Its totient is φ = 33748744296960.

The previous prime is 133462346426093. The next prime is 133462346426263. The reversal of 133462346426094 is 490624643264331.

It is a super-3 number, since 3×1334623464260943 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133462346426093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2649246234 + ... + 2649296610.

It is an arithmetic number, because the mean of its divisors is an integer number (895516103808).

Almost surely, 2133462346426094 is an apocalyptic number.

133462346426094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133462346426094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171939091931136).

133462346426094 is an abundant number, since it is smaller than the sum of its proper divisors (210415837436178).

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

133462346426094 is a wasteful number, since it uses less digits than its factorization.

133462346426094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50628 (or 50609 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 57.

The spelling of 133462346426094 in words is "one hundred thirty-three trillion, four hundred sixty-two billion, three hundred forty-six million, four hundred twenty-six thousand, ninety-four".