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5145522660 = 22325374091889
BaseRepresentation
bin1001100101011001…
…00111000111100100
3111021121012122010100
410302230213013210
541014223211120
62210330224100
7241340135535
oct46254470744
914247178110
105145522660
112200571373
12bb7285030
13640050885
1436b54268c
15201aee490
hex132b271e4

5145522660 has 144 divisors (see below), whose sum is σ = 16077625200. Its totient is φ = 1331085312.

The previous prime is 5145522647. The next prime is 5145522661. The reversal of 5145522660 is 662255415.

It can be written as a sum of positive squares in 8 ways, for example, as 748241316 + 4397281344 = 27354^2 + 66312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5145522661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2722996 + ... + 2724884.

It is an arithmetic number, because the mean of its divisors is an integer number (111650175).

Almost surely, 25145522660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145522660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038812600).

5145522660 is an abundant number, since it is smaller than the sum of its proper divisors (10932102540).

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

5145522660 is a wasteful number, since it uses less digits than its factorization.

5145522660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5145522660 is about 71732.2985829954. The cubic root of 5145522660 is about 1726.4069076666.

The spelling of 5145522660 in words is "five billion, one hundred forty-five million, five hundred twenty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 409 444 555 666 740 818 1110 1227 1332 1636 1665 1889 2045 2220 2454 3330 3681 3778 4090 4908 5667 6135 6660 7362 7556 8180 9445 11334 12270 14724 15133 17001 18405 18890 22668 24540 28335 30266 34002 36810 37780 45399 56670 60532 68004 69893 73620 75665 85005 90798 113340 136197 139786 151330 170010 181596 209679 226995 272394 279572 302660 340020 349465 419358 453990 544788 629037 680985 698930 772601 838716 907980 1048395 1258074 1361970 1397860 1545202 2096790 2317803 2516148 2723940 3090404 3145185 3863005 4193580 4635606 6290370 6953409 7726010 9271212 11589015 12580740 13906818 15452020 23178030 27813636 28586237 34767045 46356060 57172474 69534090 85758711 114344948 139068180 142931185 171517422 257276133 285862370 343034844 428793555 514552266 571724740 857587110 1029104532 1286380665 1715174220 2572761330 5145522660