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1053238186812 = 2237234817113173
BaseRepresentation
bin11110101001110011110…
…00110101001100111100
310201200120222110112022210
433110321320311030330
5114224012433434222
62123503445340420
7136044136605450
oct17247170651474
93650528415283
101053238186812
11376748553699
1215015b407710
1378420b87526
1438d96c62660
151c5e554dd0c
hexf539e3533c

1053238186812 has 96 divisors (see below), whose sum is σ = 2931384056832. Its totient is φ = 287779193856.

The previous prime is 1053238186771. The next prime is 1053238186823. The reversal of 1053238186812 is 2186818323501.

It is a super-2 number, since 2×10532381868122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9249858 + ... + 9363030.

It is an arithmetic number, because the mean of its divisors is an integer number (30535250592).

Almost surely, 21053238186812 is an apocalyptic number.

1053238186812 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 1053238186812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465692028416).

1053238186812 is an abundant number, since it is smaller than the sum of its proper divisors (1878145870020).

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

1053238186812 is a wasteful number, since it uses less digits than its factorization.

1053238186812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118027 (or 118025 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 1053238186812 in words is "one trillion, fifty-three billion, two hundred thirty-eight million, one hundred eighty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 4817 9634 14451 19268 28902 33719 57804 67438 101157 110791 113173 134876 202314 221582 226346 332373 339519 404628 443164 452692 664746 679038 775537 792211 1329492 1358076 1551074 1584422 2326611 2376633 2602979 3102148 3168844 4653222 4753266 5205958 7808937 9306444 9506532 10411916 15617874 18220853 31235748 36441706 54662559 72883412 109325118 218650236 545154341 1090308682 1635463023 2180617364 3270926046 3816080387 6541852092 7632160774 11448241161 12538549843 15264321548 22896482322 25077099686 37615649529 45792964644 50154199372 75231299058 87769848901 150462598116 175539697802 263309546703 351079395604 526619093406 1053238186812