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191706134004 = 2232711175376757
BaseRepresentation
bin1011001010001010010…
…0110111010111110100
3200022211022220122020100
42302202210313113310
511120103232242004
6224022451434100
716564441152450
oct2624244672764
9608738818210
10191706134004
11743361299a0
12311a1bb5930
1315101c48268
1493c879d660
154ec027c739
hex2ca29375f4

191706134004 has 288 divisors, whose sum is σ = 651782267136. Its totient is φ = 45979914240.

The previous prime is 191706133991. The next prime is 191706134023. The reversal of 191706134004 is 400431607191.

191706134004 is a `hidden beast` number, since 191 + 7 + 0 + 61 + 3 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 191706134004.

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, 2459194 + ... + 2535950.

It is an arithmetic number, because the mean of its divisors is an integer number (2263132872).

Almost surely, 2191706134004 is an apocalyptic number.

191706134004 is a gapful number since it is divisible by the number (14) 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 191706134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325891133568).

191706134004 is an abundant number, since it is smaller than the sum of its proper divisors (460076133132).

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

191706134004 is a wasteful number, since it uses less digits than its factorization.

191706134004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76855 (or 76850 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 191706134004 in words is "one hundred ninety-one billion, seven hundred six million, one hundred thirty-four thousand, four".