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149951560000 = 2654111720047
BaseRepresentation
bin1000101110100111001…
…1110011100101000000
3112100001101022111200111
42023221303303211000
54424100044410000
6152515314201104
713555640141524
oct2135163634500
9470041274614
10149951560000
11586598234a0
122508a583194
13111a951c138
147387181d84
153d79711cba
hex22e9cf3940

149951560000 has 280 divisors, whose sum is σ = 429516210816. Its totient is φ = 51317760000.

The previous prime is 149951559977. The next prime is 149951560009. The reversal of 149951560000 is 65159941.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149951560009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7469977 + ... + 7490023.

Almost surely, 2149951560000 is an apocalyptic number.

149951560000 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 149951560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214758105408).

149951560000 is an abundant number, since it is smaller than the sum of its proper divisors (279564650816).

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

149951560000 is a wasteful number, since it uses less digits than its factorization.

149951560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20107 (or 20082 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 40.

The spelling of 149951560000 in words is "one hundred forty-nine billion, nine hundred fifty-one million, five hundred sixty thousand".