Search a number
-
+
148922713497600 = 2133252773158113
BaseRepresentation
bin100001110111000111000101…
…011011111110000000000000
3201112021212112221212020212200
4201313013011123332000000
5124004422204123410400
61244422052231353200
743240211445443430
oct4167070533760000
9645255487766780
10148922713497600
11434a684a3a9199
1214852277522800
136513475699863
1428abc7d7822c0
151233c4ca48b00
hex8771c56fe000

148922713497600 has 1008 divisors, whose sum is σ = 618002895393312. Its totient is φ = 33572970823680.

The previous prime is 148922713497589. The next prime is 148922713497641. The reversal of 148922713497600 is 6794317229841.

148922713497600 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 2 + 2 + 7 + 13 + 4 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 941796144 + ... + 941954256.

Almost surely, 2148922713497600 is an apocalyptic number.

148922713497600 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 148922713497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309001447696656).

148922713497600 is an abundant number, since it is smaller than the sum of its proper divisors (469080181895712).

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

148922713497600 is a wasteful number, since it uses less digits than its factorization.

148922713497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158235 (or 158203 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 148922713497600 in words is "one hundred forty-eight trillion, nine hundred twenty-two billion, seven hundred thirteen million, four hundred ninety-seven thousand, six hundred".