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52164093576 = 23373146121727
BaseRepresentation
bin110000100101001110…
…001110011010001000
311222122101221111220210
4300211032032122020
51323313001443301
635544105321120
73524450323320
oct604516163210
9158571844823
1052164093576
11201392a8641
12a1397961a0
134bc420bb7a
14274bd02280
15155486cad6
hexc2538e688

52164093576 has 128 divisors (see below), whose sum is σ = 154188840960. Its totient is φ = 14391302400.

The previous prime is 52164093521. The next prime is 52164093599. The reversal of 52164093576 is 67539046125.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2390025 + ... + 2411751.

It is an arithmetic number, because the mean of its divisors is an integer number (1204600320).

Almost surely, 252164093576 is an apocalyptic number.

52164093576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52164093576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77094420480).

52164093576 is an abundant number, since it is smaller than the sum of its proper divisors (102024747384).

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

52164093576 is a wasteful number, since it uses less digits than its factorization.

52164093576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22235 (or 22231 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 52164093576 in words is "fifty-two billion, one hundred sixty-four million, ninety-three thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 461 651 744 868 922 1302 1383 1736 1844 2604 2766 3227 3688 5208 5532 6454 9681 11064 12908 14291 19362 21727 25816 28582 38724 42873 43454 57164 65181 77448 85746 86908 100037 114328 130362 152089 171492 173816 200074 260724 300111 304178 342984 400148 456267 521448 600222 608356 673537 800296 912534 1200444 1216712 1347074 1825068 2020611 2400888 2694148 3650136 4041222 4714759 5388296 8082444 9429518 10016147 14144277 16164888 18859036 20032294 28288554 30048441 37718072 40064588 56577108 60096882 70113029 80129176 113154216 120193764 140226058 210339087 240387528 280452116 310500557 420678174 560904232 621001114 841356348 931501671 1242002228 1682712696 1863003342 2173503899 2484004456 3726006684 4347007798 6520511697 7452013368 8694015596 13041023394 17388031192 26082046788 52164093576