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196018958016 = 26347192347263
BaseRepresentation
bin1011011010001110100…
…0111110111011000000
3200201221220020210120000
42312203220332323000
511202421323124031
6230014434320000
720106350436420
oct2664350767300
9621856223500
10196018958016
1176149656462
1231ba6429000
131563b60782b
1496b74a4480
155173be63e6
hex2da3a3eec0

196018958016 has 1120 divisors, whose sum is σ = 747765596160. Its totient is φ = 49482233856.

The previous prime is 196018957999. The next prime is 196018958029. The reversal of 196018958016 is 610859810691.

196018958016 is a `hidden beast` number, since 19 + 601 + 8 + 9 + 5 + 8 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 745319101 + ... + 745319363.

Almost surely, 2196018958016 is an apocalyptic number.

196018958016 is a gapful number since it is divisible by the number (16) 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 196018958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373882798080).

196018958016 is an abundant number, since it is smaller than the sum of its proper divisors (551746638144).

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

196018958016 is a wasteful number, since it uses less digits than its factorization.

196018958016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 196018958016 in words is "one hundred ninety-six billion, eighteen million, nine hundred fifty-eight thousand, sixteen".