Search a number
-
+
161994914378496 = 2833193133940939
BaseRepresentation
bin100100110101010101100001…
…010100111011001100000000
3210020120120012010001120001000
4210311111201110323030000
5132213111041040102441
61332311234123412000
746056513664543143
oct4465254124731400
9706516163046030
10161994914378496
1147686725a71391
1216203849084000
136c5109374bbb4
142c0084a80a05a
1513adcd5b342b6
hex93556153b300

161994914378496 has 288 divisors, whose sum is σ = 505871669408000. Its totient is φ = 50992837189632.

The previous prime is 161994914378441. The next prime is 161994914378537. The reversal of 161994914378496 is 694873419499161.

161994914378496 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 9 + 4 + 91 + 4 + 37 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39135195 + ... + 43076133.

Almost surely, 2161994914378496 is an apocalyptic number.

161994914378496 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 161994914378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252935834704000).

161994914378496 is an abundant number, since it is smaller than the sum of its proper divisors (343876755029504).

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

161994914378496 is a wasteful number, since it uses less digits than its factorization.

161994914378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941296 (or 3941276 counting only the distinct ones).

The product of its digits is 2539579392, while the sum is 81.

The spelling of 161994914378496 in words is "one hundred sixty-one trillion, nine hundred ninety-four billion, nine hundred fourteen million, three hundred seventy-eight thousand, four hundred ninety-six".