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52142327538312 = 23311318297685467
BaseRepresentation
bin10111101101100010101001…
…11010010010001010001000
320211121202110110101012011210
423312301110322102022020
523313244441322211222
6302521504331253120
713661105325143364
oct1366612472221210
9224552413335153
1052142327538312
1115683489602aa0
125a21647baa1a0
132313000b13b2b
14cc39b88822a4
1560651cd6ed0c
hex2f6c54e92288

52142327538312 has 128 divisors (see below), whose sum is σ = 146970741657600. Its totient is φ = 15272558035200.

The previous prime is 52142327538307. The next prime is 52142327538349. The reversal of 52142327538312 is 21383572324125.

It is a super-2 number, since 2×521423275383122 (a number of 28 digits) contains 22 as substring.

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, 2941803 + ... + 10627269.

It is an arithmetic number, because the mean of its divisors is an integer number (1148208919200).

Almost surely, 252142327538312 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 52142327538312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73485370828800).

52142327538312 is an abundant number, since it is smaller than the sum of its proper divisors (94828414119288).

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

52142327538312 is a wasteful number, since it uses less digits than its factorization.

52142327538312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686347 (or 7686343 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 52142327538312 in words is "fifty-two trillion, one hundred forty-two billion, three hundred twenty-seven million, five hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 829 1023 1364 1658 2046 2487 2728 3316 4092 4974 6632 8184 9119 9948 18238 19896 25699 27357 36476 51398 54714 72952 77097 102796 109428 154194 205592 218856 282689 308388 565378 616776 848067 1130756 1696134 2261512 3392268 6784536 7685467 15370934 23056401 30741868 46112802 61483736 84540137 92225604 169080274 184451208 238249477 253620411 338160548 476498954 507240822 676321096 714748431 952997908 1014481644 1429496862 1905995816 2028963288 2620744247 2858993724 5241488494 5717987448 6371252143 7862232741 10482976988 12742504286 15724465482 19113756429 20965953976 25485008572 31448930964 38227512858 50970017144 62897861928 70083773573 76455025716 140167547146 152910051432 197508816433 210251320719 280335094292 395017632866 420502641438 560670188584 592526449299 790035265732 841005282876 1185052898598 1580070531464 1682010565752 2172596980763 2370105797196 4345193961526 4740211594392 6517790942289 8690387923052 13035581884578 17380775846104 26071163769156 52142327538312