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1052811158952 = 233736737345779
BaseRepresentation
bin11110101001000000110…
…11110110010110101000
310201122111012221021020010
433110200123312112220
5114222124124041302
62123353232531520
7136030433124330
oct17244033662650
93648435837203
101052811158952
113765494a8303
121500603b0ba0
1378383571a17
1438d562640c0
151c5bccec16c
hexf5206f65a8

1052811158952 has 128 divisors (see below), whose sum is σ = 3024380620800. Its totient is φ = 299172780288.

The previous prime is 1052811158923. The next prime is 1052811159011. The reversal of 1052811158952 is 2598511182501.

1052811158952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10528111589522 (a number of 25 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, 22974799 + ... + 23020577.

It is an arithmetic number, because the mean of its divisors is an integer number (23627973600).

Almost surely, 21052811158952 is an apocalyptic number.

1052811158952 is a gapful number since it is divisible by the number (12) 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 1052811158952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512190310400).

1052811158952 is an abundant number, since it is smaller than the sum of its proper divisors (1971569461848).

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

1052811158952 is a wasteful number, since it uses less digits than its factorization.

1052811158952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46535 (or 46531 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 48.

The spelling of 1052811158952 in words is "one trillion, fifty-two billion, eight hundred eleven million, one hundred fifty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 367 373 734 746 1101 1119 1468 1492 2202 2238 2569 2611 2936 2984 4404 4476 5138 5222 7707 7833 8808 8952 10276 10444 15414 15666 20552 20888 30828 31332 45779 61656 62664 91558 136891 137337 183116 273782 274674 320453 366232 410673 547564 549348 640906 821346 958237 961359 1095128 1098696 1281812 1642692 1916474 1922718 2563624 2874711 3285384 3832948 3845436 5749422 7665896 7690872 11498844 16800893 17075567 22997688 33601786 34151134 50402679 51226701 67203572 68302268 100805358 102453402 117606251 119528969 134407144 136604536 201610716 204906804 235212502 239057938 352818753 358586907 403221432 409813608 470425004 478115876 705637506 717173814 940850008 956231752 1411275012 1434347628 2822550024 2868695256 6266733089 12533466178 18800199267 25066932356 37600398534 43867131623 50133864712 75200797068 87734263246 131601394869 150401594136 175468526492 263202789738 350937052984 526405579476 1052811158952