Search a number
-
+
520325157150 = 2325243118122769
BaseRepresentation
bin1111001001001011100…
…10111101000100011110
31211202001100120200020200
413210211302331010132
532011111220012100
61035011205524330
752410066601311
oct7444562750436
91752040520220
10520325157150
11190739a93937
1284a13a136a6
133a0b2cc1096
141b28078a978
15d8051cbe00
hex7925cbd11e

520325157150 has 144 divisors (see below), whose sum is σ = 1431724591440. Its totient is φ = 135405849600.

The previous prime is 520325157109. The next prime is 520325157181. The reversal of 520325157150 is 51751523025.

520325157150 is a `hidden beast` number, since 5 + 2 + 0 + 32 + 5 + 1 + 571 + 50 = 666.

It is a super-2 number, since 2×5203251571502 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22840966 + ... + 22863734.

It is an arithmetic number, because the mean of its divisors is an integer number (9942531885).

Almost surely, 2520325157150 is an apocalyptic number.

520325157150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 520325157150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715862295720).

520325157150 is an abundant number, since it is smaller than the sum of its proper divisors (911399434290).

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

520325157150 is a wasteful number, since it uses less digits than its factorization.

520325157150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24011 (or 24003 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 520325157150 in words is "five hundred twenty billion, three hundred twenty-five million, one hundred fifty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1181 1290 1935 2150 2362 3225 3543 3870 5905 6450 7086 9675 10629 11810 17715 19350 21258 22769 29525 35430 45538 50783 53145 59050 68307 88575 101566 106290 113845 136614 152349 177150 204921 227690 253915 265725 304698 341535 409842 457047 507830 531450 569225 683070 761745 914094 979067 1024605 1138450 1269575 1523490 1707675 1958134 2049210 2285235 2539150 2937201 3415350 3808725 4570470 4895335 5123025 5874402 7617450 8811603 9790670 10246050 11426175 14686005 17623206 22852350 24476675 26890189 29372010 44058015 48953350 53780378 73430025 80670567 88116030 134450945 146860050 161341134 220290075 242011701 268901890 403352835 440580150 484023402 672254725 806705670 1156278127 1210058505 1344509450 2016764175 2312556254 2420117010 3468834381 4033528350 5781390635 6050292525 6937668762 10406503143 11562781270 12100585050 17344171905 20813006286 28906953175 34688343810 52032515715 57813906350 86720859525 104065031430 173441719050 260162578575 520325157150