Search a number
-
+
149768410560 = 2635375218093
BaseRepresentation
bin1000101101111011100…
…1001001010111000000
3112022120121200112212220
42023132321021113000
54423211203114220
6152445212451040
713551254325246
oct2133671112700
9468517615786
10149768410560
11585753aa61a
1225039179a80
131117a5b48a2
14736ab08796
153d685d5540
hex22dee495c0

149768410560 has 224 divisors, whose sum is σ = 489364276032. Its totient is φ = 38779453440.

The previous prime is 149768410553. The next prime is 149768410573. The reversal of 149768410560 is 65014867941.

It is a congruent number.

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, 18501874 + ... + 18509966.

Almost surely, 2149768410560 is an apocalyptic number.

149768410560 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 149768410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244682138016).

149768410560 is an abundant number, since it is smaller than the sum of its proper divisors (339595865472).

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

149768410560 is a wasteful number, since it uses less digits than its factorization.

149768410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8671 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 149768410560 in words is "one hundred forty-nine billion, seven hundred sixty-eight million, four hundred ten thousand, five hundred sixty".