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150150150036 = 2236193266797
BaseRepresentation
bin1000101111010110100…
…1010111011110010100
3112100120012222221000000
42023311221113132110
54430001414300121
6152551130451300
713563601134315
oct2136551273624
9470505887000
10150150150036
1158750933097
1225124b93b30
131120b701733
1473a56b860c
153d8bd8d526
hex22f5a57794

150150150036 has 84 divisors (see below), whose sum is σ = 396006670612. Its totient is φ = 49790536704.

The previous prime is 150150149999. The next prime is 150150150043. The reversal of 150150150036 is 630051051051.

150150150036 is a `hidden beast` number, since 1 + 5 + 0 + 150 + 1 + 500 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98466674436 + 51683475600 = 313794^2 + 227340^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150150149991 and 150150150009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 429390 + ... + 696186.

Almost surely, 2150150150036 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 150150150036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198003335306).

150150150036 is an abundant number, since it is smaller than the sum of its proper divisors (245856520576).

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

150150150036 is a wasteful number, since it uses less digits than its factorization.

150150150036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267012 (or 266995 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 150150150036 in words is "one hundred fifty billion, one hundred fifty million, one hundred fifty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 243 324 386 486 579 729 772 972 1158 1458 1737 2316 2916 3474 5211 6948 10422 15633 20844 31266 46899 62532 93798 140697 187596 266797 281394 533594 562788 800391 1067188 1600782 2401173 3201564 4802346 7203519 9604692 14407038 21610557 28814076 43221114 51491821 64831671 86442228 102983642 129663342 154475463 194495013 205967284 259326684 308950926 388990026 463426389 617901852 777980052 926852778 1390279167 1853705556 2780558334 4170837501 5561116668 8341675002 12512512503 16683350004 25025025006 37537537509 50050050012 75075075018 150150150036