Search a number
-
+
1053424680072 = 233291679063121
BaseRepresentation
bin11110101010001010000…
…00001111110010001000
310201201001222101100222120
433111011000033302020
5114224403204230242
62123534150451240
7136051563016542
oct17250500176210
93651058340876
101053424680072
11376833850856
121501b1963b20
13784506c2a7b
1438db392a692
151c606adb1ec
hexf54500fc88

1053424680072 has 64 divisors (see below), whose sum is σ = 2740688092800. Its totient is φ = 337003054080.

The previous prime is 1053424680041. The next prime is 1053424680103. The reversal of 1053424680072 is 2700864243501.

It is an interprime number because it is at equal distance from previous prime (1053424680041) and next prime (1053424680103).

It is a super-2 number, since 2×10534246800722 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4415329 + ... + 4647792.

It is an arithmetic number, because the mean of its divisors is an integer number (42823251450).

Almost surely, 21053424680072 is an apocalyptic number.

1053424680072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1053424680072 is an abundant number, since it is smaller than the sum of its proper divisors (1687263412728).

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

1053424680072 is a wasteful number, since it uses less digits than its factorization.

1053424680072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9063326 (or 9063322 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 1053424680072 in words is "one trillion, fifty-three billion, four hundred twenty-four million, six hundred eighty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 167 174 232 334 348 501 668 696 1002 1336 2004 4008 4843 9686 14529 19372 29058 38744 58116 116232 9063121 18126242 27189363 36252484 54378726 72504968 108757452 217514904 262830509 525661018 788491527 1051322036 1513541207 1576983054 2102644072 3027082414 3153966108 4540623621 6054164828 6307932216 9081247242 12108329656 18162494484 36324988968 43892695003 87785390006 131678085009 175570780012 263356170018 351141560024 526712340036 1053424680072