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150205375116 = 223289195124029
BaseRepresentation
bin1000101111100011110…
…0000010001010001100
3112100201001220122120100
42023320330002022030
54430110034000431
6153000422251100
713565141423346
oct2137074021214
9470631818510
10150205375116
115877a022555
122513b586a90
1311219c991b4
1473acb72296
153d91b4b4e6
hex22f8f0228c

150205375116 has 72 divisors (see below), whose sum is σ = 384164726400. Its totient is φ = 49478457600.

The previous prime is 150205375081. The next prime is 150205375193. The reversal of 150205375116 is 611573502051.

It is a happy number.

150205375116 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 0 + 537 + 5 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6238990 + ... + 6263018.

It is an arithmetic number, because the mean of its divisors is an integer number (5335621200).

Almost surely, 2150205375116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150205375116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192082363200).

150205375116 is an abundant number, since it is smaller than the sum of its proper divisors (233959351284).

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

150205375116 is a wasteful number, since it uses less digits than its factorization.

150205375116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26079 (or 26074 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

Adding to 150205375116 its reverse (611573502051), we get a palindrome (761778877167).

The spelling of 150205375116 in words is "one hundred fifty billion, two hundred five million, three hundred seventy-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 1951 3204 3902 5853 7804 11706 17559 23412 24029 35118 48058 70236 72087 96116 144174 173639 216261 288348 347278 432522 520917 694556 865044 1041834 1562751 2083668 2138581 3125502 4277162 6251004 6415743 8554324 12831486 19247229 25662972 38494458 46880579 76988916 93761158 140641737 187522316 281283474 421925211 562566948 843850422 1687700844 4172371531 8344743062 12517114593 16689486124 25034229186 37551343779 50068458372 75102687558 150205375116