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150129062336 = 2611103220101
BaseRepresentation
bin1000101111010001100…
…0111011000111000000
3112100111202022120010002
42023310120323013000
54424431014443321
6152545054455132
713563223655201
oct2136430730700
9470452276102
10150129062336
115873aa3a640
1225119b044a8
131120722a1c6
1473a29895a8
153d8a0c520b
hex22f463b1c0

150129062336 has 84 divisors (see below), whose sum is σ = 328197554424. Its totient is φ = 67574592000.

The previous prime is 150129062269. The next prime is 150129062339. The reversal of 150129062336 is 633260921051.

It is a self number, because there is not a number n which added to its sum of digits gives 150129062336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150129062339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7458686 + ... + 7478786.

Almost surely, 2150129062336 is an apocalyptic number.

150129062336 is a gapful number since it is divisible by the number (16) 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 150129062336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164098777212).

150129062336 is an abundant number, since it is smaller than the sum of its proper divisors (178068492088).

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

150129062336 is a wasteful number, since it uses less digits than its factorization.

150129062336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20330 (or 20217 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

Adding to 150129062336 its reverse (633260921051), we get a palindrome (783389983387).

The spelling of 150129062336 in words is "one hundred fifty billion, one hundred twenty-nine million, sixty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 176 206 352 412 704 824 1133 1648 2266 3296 4532 6592 9064 10609 18128 20101 21218 36256 40202 42436 72512 80404 84872 116699 160808 169744 221111 233398 321616 339488 442222 466796 643232 678976 884444 933592 1286464 1768888 1867184 2070403 3537776 3734368 4140806 7075552 7468736 8281612 14151104 16563224 22774433 33126448 45548866 66252896 91097732 132505792 182195464 213251509 364390928 426503018 728781856 853006036 1457563712 1706012072 2345766599 3412024144 4691533198 6824048288 9383066396 13648096576 18766132792 37532265584 75064531168 150129062336