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1052145233235 = 325371443143789
BaseRepresentation
bin11110100111110001011…
…11100010110101010011
310201120202210212201212200
433103320233202311103
5114214243134430420
62123203203454243
7136005065631045
oct17237057426523
93646683781780
101052145233235
11376237611478
1214bab5387383
13782a8602c35
1438cd1a39a95
151c57e60ab90
hexf4f8be2d53

1052145233235 has 48 divisors (see below), whose sum is σ = 1873180657920. Its totient is φ = 545927765760.

The previous prime is 1052145233147. The next prime is 1052145233261. The reversal of 1052145233235 is 5323325412501.

1052145233235 is a `hidden beast` number, since 1 + 0 + 52 + 145 + 233 + 235 = 666.

It is not a de Polignac number, because 1052145233235 - 27 = 1052145233107 is a prime.

It is a super-2 number, since 2×10521452332352 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052145233235.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24005721 + ... + 24049509.

It is an arithmetic number, because the mean of its divisors is an integer number (39024597040).

Almost surely, 21052145233235 is an apocalyptic number.

1052145233235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1052145233235 is a deficient number, since it is larger than the sum of its proper divisors (821035424685).

1052145233235 is a wasteful number, since it uses less digits than its factorization.

1052145233235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58268 (or 58265 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1052145233235 in words is "one trillion, fifty-two billion, one hundred forty-five million, two hundred thirty-three thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 14431 43293 43789 72155 129879 131367 216465 218945 394101 533947 649395 656835 1601841 1620193 1970505 2669735 4805523 4860579 8009205 8100965 14581737 24027615 24302895 72908685 631919059 1895757177 3159595295 5687271531 9478785885 23381005183 28436357655 70143015549 116905025915 210429046647 350715077745 1052145233235