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5170652960 = 255117873733
BaseRepresentation
bin1001101000011000…
…11110011100100000
3111100100111101102012
410310030132130200
541042141343320
62213025012052
7242063552654
oct46414363440
914310441365
105170652960
112213776110
121003784028
1364530c185
14370a04a64
15203e154c5
hex13431e720

5170652960 has 96 divisors (see below), whose sum is σ = 13346690112. Its totient is φ = 1877345280.

The previous prime is 5170652959. The next prime is 5170653001. The reversal of 5170652960 is 692560715.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383254 + ... + 1386986.

It is an arithmetic number, because the mean of its divisors is an integer number (139028022).

Almost surely, 25170652960 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 5170652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673345056).

5170652960 is an abundant number, since it is smaller than the sum of its proper divisors (8176037152).

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

5170652960 is a wasteful number, since it uses less digits than its factorization.

5170652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 5170652960 is about 71907.2524854065. The cubic root of 5170652960 is about 1729.2128866135.

It can be divided in two parts, 517065 and 2960, that added together give a palindrome (520025).

The spelling of 5170652960 in words is "five billion, one hundred seventy million, six hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 787 880 1574 1760 3148 3733 3935 6296 7466 7870 8657 12592 14932 15740 17314 18665 25184 29864 31480 34628 37330 41063 43285 59728 62960 69256 74660 82126 86570 119456 125920 138512 149320 164252 173140 205315 277024 298640 328504 346280 410630 597280 657008 692560 821260 1314016 1385120 1642520 2937871 3285040 5875742 6570080 11751484 14689355 23502968 29378710 32316581 47005936 58757420 64633162 94011872 117514840 129266324 161582905 235029680 258532648 323165810 470059360 517065296 646331620 1034130592 1292663240 2585326480 5170652960