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150252450020 = 225731011018937
BaseRepresentation
bin1000101111101110111…
…1100111000011100100
3112100211100111022012022
42023323233213003210
54430204111400040
6153005223242312
713566252516101
oct2137357470344
9470740438168
10150252450020
11587a3655632
12251532a9398
131122696c07a
1473b5107aa8
153d95d496b5
hex22fbbe70e4

150252450020 has 48 divisors (see below), whose sum is σ = 323019649008. Its totient is φ = 58690713600.

The previous prime is 150252449993. The next prime is 150252450031. The reversal of 150252450020 is 20054252051.

It can be written as a sum of positive squares in 8 ways, for example, as 13202929216 + 137049520804 = 114904^2 + 370202^2 .

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, 362009 + ... + 656928.

It is an arithmetic number, because the mean of its divisors is an integer number (6729576021).

Almost surely, 2150252450020 is an apocalyptic number.

150252450020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150252450020 is an abundant number, since it is smaller than the sum of its proper divisors (172767198988).

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

150252450020 is a wasteful number, since it uses less digits than its factorization.

150252450020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019120 (or 1019118 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 150252450020 in words is "one hundred fifty billion, two hundred fifty-two million, four hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 20 73 101 146 202 292 365 404 505 730 1010 1460 2020 7373 14746 29492 36865 73730 147460 1018937 2037874 4075748 5094685 10189370 20378740 74382401 102912637 148764802 205825274 297529604 371912005 411650548 514563185 743824010 1029126370 1487648020 2058252740 7512622501 15025245002 30050490004 37563112505 75126225010 150252450020