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150263994321 = 36742932
BaseRepresentation
bin1000101111110001101…
…1101001011111010001
3112100212011012211000000
42023330123221133101
54430220040304241
6153010314520213
713566452610000
oct2137433513721
9470764184000
10150263994321
11587aa11aa81
1225157136069
131122918180c
1473b6870c37
153d96d79eb6
hex22fc6e97d1

150263994321 has 105 divisors (see below), whose sum is σ = 263726191499. Its totient is φ = 85572084528.

The previous prime is 150263994319. The next prime is 150263994329. The reversal of 150263994321 is 123499362051.

The square root of 150263994321 is 387639.

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

150263994321 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 639 + 9 + 4 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142170473025 + 8093521296 = 377055^2 + 89964^2 .

It is not a de Polignac number, because 150263994321 - 21 = 150263994319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150263994329) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 512846251 + ... + 512846543.

Almost surely, 2150263994321 is an apocalyptic number.

150263994321 is the 387639-th square number.

150263994321 is the 193820-th centered octagonal number.

It is an amenable number.

150263994321 is a deficient number, since it is larger than the sum of its proper divisors (113462197178).

150263994321 is an frugal number, since it uses more digits than its factorization.

150263994321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 150263994321 in words is "one hundred fifty billion, two hundred sixty-three million, nine hundred ninety-four thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 293 343 441 567 729 879 1029 1323 1701 2051 2401 2637 3087 3969 5103 6153 7203 7911 9261 11907 14357 18459 21609 23733 27783 35721 43071 55377 64827 71199 83349 85849 100499 129213 166131 194481 213597 250047 257547 301497 387639 498393 583443 600943 703493 772641 904491 1162917 1495179 1750329 1802829 2110479 2317923 2713473 3488751 4206601 5408487 6331437 6953769 8140419 10466253 12619803 16225461 18994311 20861307 24421257 29446207 37859409 48676383 56982933 62583921 73263771 88338621 113578227 146029149 170948799 206123449 265015863 340734681 438087447 512846397 618370347 795047589 1022204043 1855111041 2385142767 3066612129 5565333123 7155428301 16695999369 21466284903 50087998107 150263994321