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150271925517025 = 52132103218312
BaseRepresentation
bin100010001010101111101000…
…101111010111101011100001
3201201001212002212022022120221
4202022233220233113223201
5124144023400413021100
61251333545231403041
743436534254414324
oct4212575057275341
9651055085268527
10150271925517025
1143976a69411a14
1214a2b857983481
1365b07741cb900
1429172b2b407bb
151258db706301a
hex88abe8bd7ae1

150271925517025 has 81 divisors (see below), whose sum is σ = 203862728061657. Its totient is φ = 109832640465600.

The previous prime is 150271925517019. The next prime is 150271925517053. The reversal of 150271925517025 is 520715529172051.

The square root of 150271925517025 is 12258545.

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

It can be written as a sum of positive squares in 4 ways, for example, as 38732811097761 + 111539114419264 = 6223569^2 + 10561208^2 .

It is not a de Polignac number, because 150271925517025 - 29 = 150271925516513 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 82070957860 + ... + 82070959690.

Almost surely, 2150271925517025 is an apocalyptic number.

150271925517025 is the 12258545-th square number.

150271925517025 is the 6129273-rd centered octagonal number.

It is an amenable number.

150271925517025 is a deficient number, since it is larger than the sum of its proper divisors (53590802544632).

150271925517025 is an frugal number, since it uses more digits than its factorization.

150271925517025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 52.

The spelling of 150271925517025 in words is "one hundred fifty trillion, two hundred seventy-one billion, nine hundred twenty-five million, five hundred seventeen thousand, twenty-five".

Divisors: 1 5 13 25 65 103 169 325 515 845 1339 1831 2575 4225 6695 9155 10609 17407 23803 33475 45775 53045 87035 119015 137917 188593 265225 309439 435175 595075 689585 942965 1547195 1792921 2451709 3352561 3447925 4714825 7735975 8964605 12258545 16762805 19425079 31872217 43583293 44823025 61292725 83814025 97125395 159361085 217916465 252526027 345313783 485626975 566582809 796805425 1089582325 1262630135 1726568915 2832914045 3282838351 4489079179 6313150675 8632844575 14164570225 16414191755 22445395895 35567319649 58358029327 82070958775 112226979475 177836598245 291790146635 462375155437 889182991225 1458950733175 2311875777185 6010877020681 11559378885925 30054385103405 150271925517025