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149810465088 = 26333147157379
BaseRepresentation
bin1000101110000101100…
…1100100100101000000
3112022200112211010212000
42023201121210211000
54423302434340323
6152453314104000
713552304641224
oct2134131444500
9468615733760
10149810465088
1158597113829
122504b27b000
131118621a61b
147372534784
153d6c140e43
hex22e1664940

149810465088 has 448 divisors, whose sum is σ = 468484915200. Its totient is φ = 46872483840.

The previous prime is 149810465081. The next prime is 149810465107. The reversal of 149810465088 is 880564018941.

It is a happy number.

149810465088 is a `hidden beast` number, since 1 + 4 + 98 + 1 + 0 + 46 + 508 + 8 = 666.

149810465088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149810465081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395278083 + ... + 395278461.

Almost surely, 2149810465088 is an apocalyptic number.

149810465088 is a gapful number since it is divisible by the number (18) 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 149810465088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234242457600).

149810465088 is an abundant number, since it is smaller than the sum of its proper divisors (318674450112).

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

149810465088 is a wasteful number, since it uses less digits than its factorization.

149810465088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 149810465088 in words is "one hundred forty-nine billion, eight hundred ten million, four hundred sixty-five thousand, eighty-eight".