Search a number
-
+
146553191694 = 2327131714993511
BaseRepresentation
bin1000100001111101000…
…0000011110100001110
3112000021112200111202200
42020133100003310032
54400120104113234
6151154155302330
713405503401310
oct2103720036416
9460245614680
10146553191694
1157175502048
12244a044a9a6
1310a87447c10
147143abb7b0
153c2b1ccd99
hex221f403d0e

146553191694 has 192 divisors, whose sum is σ = 414191232000. Its totient is φ = 36343157760.

The previous prime is 146553191693. The next prime is 146553191699. The reversal of 146553191694 is 496191355641.

146553191694 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 531 + 9 + 16 + 94 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 146553191694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146553191693) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41739399 + ... + 41742909.

It is an arithmetic number, because the mean of its divisors is an integer number (2157246000).

Almost surely, 2146553191694 is an apocalyptic number.

146553191694 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 146553191694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207095616000).

146553191694 is an abundant number, since it is smaller than the sum of its proper divisors (267638040306).

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

146553191694 is a wasteful number, since it uses less digits than its factorization.

146553191694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5052 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 146553191694 in words is "one hundred forty-six billion, five hundred fifty-three million, one hundred ninety-one thousand, six hundred ninety-four".