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150631700769 = 321121926192
BaseRepresentation
bin1000110001001001011…
…0010101100100100001
3112101210210010020102100
42030102112111210201
54431443203411034
6153111012041013
713611536221314
oct2142226254441
9471723106370
10150631700769
1158978739300
122523a303169
13112873c71b4
14740d62a97b
153db92b0099
hex2312595921

150631700769 has 81 divisors (see below), whose sum is σ = 252815349969. Its totient is φ = 86347380240.

The previous prime is 150631700767. The next prime is 150631700819. The reversal of 150631700769 is 967007136051.

The square root of 150631700769 is 388113.

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

150631700769 is a `hidden beast` number, since 1 + 5 + 0 + 631 + 7 + 0 + 0 + 7 + 6 + 9 = 666.

It is not a de Polignac number, because 150631700769 - 21 = 150631700767 is a prime.

It is a super-2 number, since 2×1506317007692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150631700767) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 243346542 + ... + 243347160.

Almost surely, 2150631700769 is an apocalyptic number.

150631700769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

150631700769 is the 388113-rd square number.

150631700769 is the 194057-th centered octagonal number.

It is an amenable number.

150631700769 is a deficient number, since it is larger than the sum of its proper divisors (102183649200).

150631700769 is an equidigital number, since it uses as much as digits as its factorization.

150631700769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 150631700769 in words is "one hundred fifty billion, six hundred thirty-one million, seven hundred thousand, seven hundred sixty-nine".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 361 363 619 627 1083 1089 1857 1881 2299 3249 3971 5571 6809 6897 11761 11913 20427 20691 35283 35739 43681 61281 74899 105849 129371 131043 223459 224697 383161 388113 393129 670377 674091 1149483 1164339 1423081 2011131 2458049 3448449 4214771 4269243 7280059 7374147 12644313 12807729 21840177 22122441 27038539 37932939 46362481 65520531 80080649 81115617 138321121 139087443 240241947 243346851 414963363 417262329 720725841 880887139 1244890089 1521532331 2642661417 4564596993 7927984251 13693790979 16736855641 50210566923 150631700769