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150722532900 = 223252129412
BaseRepresentation
bin1000110001011111000…
…0110101011000100100
3112102001010000222200100
42030113300311120210
54432134432023100
6153124014544100
713614021251112
oct2142760653044
9472033028610
10150722532900
1158a14a38885
1225264808030
13112a017ab14
14741b712ab2
153dc2253400
hex2317c35624

150722532900 has 81 divisors (see below), whose sum is σ = 472467915283. Its totient is φ = 40189569600.

The previous prime is 150722532887. The next prime is 150722532901. The reversal of 150722532900 is 9235227051.

The square root of 150722532900 is 388230.

It is a perfect power (a square), and thus also a powerful number.

150722532900 is a `hidden beast` number, since 1 + 50 + 72 + 2 + 532 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2454409764 + 148268123136 = 49542^2 + 385056^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150722532901) 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 26 ways as a sum of consecutive naturals, for example, 11640430 + ... + 11653370.

Almost surely, 2150722532900 is an apocalyptic number.

150722532900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150722532900 is the 388230-th square number.

It is an amenable number.

150722532900 is an abundant number, since it is smaller than the sum of its proper divisors (321745382383).

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

150722532900 is an equidigital number, since it uses as much as digits as its factorization.

150722532900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25902 (or 12951 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 150722532900 by its sum of digits (36), we get a square (5426011184400 = 23293802).

150722532900 divided by its sum of digits (36) gives a square (4186737025 = 647052).

Adding to 150722532900 its reverse (9235227051), we get a palindrome (159957759951).

The spelling of 150722532900 in words is "one hundred fifty billion, seven hundred twenty-two million, five hundred thirty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12941 25882 38823 51764 64705 77646 116469 129410 155292 194115 232938 258820 323525 388230 465876 582345 647050 776460 970575 1164690 1294100 1941150 2329380 2911725 3882300 5823450 11646900 167469481 334938962 502408443 669877924 837347405 1004816886 1507225329 1674694810 2009633772 2512042215 3014450658 3349389620 4186737025 5024084430 6028901316 7536126645 8373474050 10048168860 12560211075 15072253290 16746948100 25120422150 30144506580 37680633225 50240844300 75361266450 150722532900