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150572713369 = 13219215712
BaseRepresentation
bin1000110000111011010…
…1010100010110011001
3112101122200010100220211
42030032311110112121
54431333103311434
6153101103451121
713610221642351
oct2141665242631
9471580110824
10150572713369
115894840a191
12252225b6aa1
1311278113100
147405873b61
153db400c464
hex230ed54599

150572713369 has 27 divisors (see below), whose sum is σ = 172188827199. Its totient is φ = 131591107440.

The previous prime is 150572713351. The next prime is 150572713373. The reversal of 150572713369 is 963317275051.

The square root of 150572713369 is 388037.

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

It can be written as a sum of positive squares in only one way, i.e., 22274070025 + 128298643344 = 149245^2 + 358188^2 .

It is not a de Polignac number, because 150572713369 - 217 = 150572582297 is a prime.

It is a super-2 number, since 2×1505727133692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150572713339) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95844354 + ... + 95845924.

Almost surely, 2150572713369 is an apocalyptic number.

150572713369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

150572713369 is the 388037-th square number.

150572713369 is the 194019-th centered octagonal number.

It is an amenable number.

150572713369 is a deficient number, since it is larger than the sum of its proper divisors (21616113830).

150572713369 is an frugal number, since it uses more digits than its factorization.

150572713369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 49.

Multiplying 150572713369 by its sum of digits (49), we get a square (7378062955081 = 27162592).

The spelling of 150572713369 in words is "one hundred fifty billion, five hundred seventy-two million, seven hundred thirteen thousand, three hundred sixty-nine".

Divisors: 1 13 19 169 247 361 1571 3211 4693 20423 29849 61009 265499 388037 567131 2468041 5044481 7372703 32084533 46892779 95845139 417098929 609606127 890962801 7924879651 11582516413 150572713369