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194512316040 = 2332573183131229
BaseRepresentation
bin1011010100100111010…
…1100110011010001000
3200121001220020110022100
42311021311212122020
511141330123103130
6225205133553400
720024124256260
oct2651165463210
9617056213270
10194512316040
1175546149aa9
1231845945860
131545b42b2c3
1495b33527a0
1550d67d8c60
hex2d49d66688

194512316040 has 768 divisors, whose sum is σ = 763847884800. Its totient is φ = 41998694400.

The previous prime is 194512316039. The next prime is 194512316069. The reversal of 194512316040 is 40613215491.

It is a happy number.

194512316040 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 12 + 31 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 194512315986 and 194512316004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 849398646 + ... + 849398874.

It is an arithmetic number, because the mean of its divisors is an integer number (994593600).

Almost surely, 2194512316040 is an apocalyptic number.

194512316040 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 194512316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381923942400).

194512316040 is an abundant number, since it is smaller than the sum of its proper divisors (569335568760).

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

194512316040 is a wasteful number, since it uses less digits than its factorization.

194512316040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 194512316040 in words is "one hundred ninety-four billion, five hundred twelve million, three hundred sixteen thousand, forty".