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150226404664 = 237109169314537
BaseRepresentation
bin1000101111101000110…
…0010000010100111000
3112100202112111001200111
42023322030100110320
54430130424422124
6153002453114104
713565515241110
oct2137214202470
9470675431614
10150226404664
115878a986346
1225146628934
131122145010b
1473b1888040
153d93902494
hex22fa310538

150226404664 has 64 divisors (see below), whose sum is σ = 325081310400. Its totient is φ = 63750011904.

The previous prime is 150226404619. The next prime is 150226404673. The reversal of 150226404664 is 466404622051.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10326804 + ... + 10341340.

It is an arithmetic number, because the mean of its divisors is an integer number (5079395475).

Almost surely, 2150226404664 is an apocalyptic number.

150226404664 is a gapful number since it is divisible by the number (14) 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 150226404664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162540655200).

150226404664 is an abundant number, since it is smaller than the sum of its proper divisors (174854905736).

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

150226404664 is a wasteful number, since it uses less digits than its factorization.

150226404664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16352 (or 16348 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 150226404664 in words is "one hundred fifty billion, two hundred twenty-six million, four hundred four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 109 218 436 763 872 1526 1693 3052 3386 6104 6772 11851 13544 14537 23702 29074 47404 58148 94808 101759 116296 184537 203518 369074 407036 738148 814072 1291759 1476296 1584533 2583518 3169066 5167036 6338132 10334072 11091731 12676264 22183462 24611141 44366924 49222282 88733848 98444564 172277987 196889128 344555974 689111948 1378223896 2682614369 5365228738 10730457476 18778300583 21460914952 37556601166 75113202332 150226404664