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150606661050 = 2325219112011459
BaseRepresentation
bin1000110001000011011…
…0110100010110111010
3112101202001000002101100
42030100312310112322
54431420301123200
6153104315232230
713611113332236
oct2142066642672
9471661002340
10150606661050
115896559661a
1225231a48676
131128216abb1
14740a18d5c6
153db6eb5d00
hex2310db45ba

150606661050 has 144 divisors (see below), whose sum is σ = 407366069760. Its totient is φ = 39890880000.

The previous prime is 150606661043. The next prime is 150606661057. The reversal of 150606661050 is 50166606051.

It is an interprime number because it is at equal distance from previous prime (150606661043) and next prime (150606661057).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 150606660996 and 150606661014.

It is not an unprimeable number, because it can be changed into a prime (150606661057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103225221 + ... + 103226679.

It is an arithmetic number, because the mean of its divisors is an integer number (2828931040).

Almost surely, 2150606661050 is an apocalyptic number.

150606661050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150606661050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203683034880).

150606661050 is an abundant number, since it is smaller than the sum of its proper divisors (256759408710).

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

150606661050 is a wasteful number, since it uses less digits than its factorization.

150606661050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 150606661050 in words is "one hundred fifty billion, six hundred six million, six hundred sixty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 191 225 382 450 573 955 1146 1201 1459 1719 1910 2402 2865 2918 3438 3603 4377 4775 5730 6005 7206 7295 8595 8754 9550 10809 12010 13131 14325 14590 17190 18015 21618 21885 26262 28650 30025 36030 36475 42975 43770 54045 60050 65655 72950 85950 90075 108090 109425 131310 180150 218850 229391 270225 278669 328275 458782 540450 557338 656550 688173 836007 1146955 1376346 1393345 1672014 1752259 2064519 2293910 2508021 2786690 3440865 3504518 4129038 4180035 5016042 5256777 5734775 6881730 6966725 8360070 8761295 10322595 10513554 11469550 12540105 13933450 15770331 17204325 17522590 20645190 20900175 25080210 26283885 31540662 34408650 41800350 43806475 51612975 52567770 62700525 78851655 87612950 103225950 125401050 131419425 157703310 262838850 334681469 394258275 669362938 788516550 1004044407 1673407345 2008088814 3012133221 3346814690 5020222035 6024266442 8367036725 10040444070 15060666105 16734073450 25101110175 30121332210 50202220350 75303330525 150606661050