Search a number
-
+
1156210050072 = 2337113591742771
BaseRepresentation
bin10000110100110011011…
…111010100010000011000
311002112101021012011120010
4100310303133110100120
5122420404233100242
62243053334001520
7146350651161360
oct20646337242030
94075337164503
101156210050072
11406389481630
121680b84a62a0
13850512a962c
143dd648839a0
152012062089c
hex10d337d4418

1156210050072 has 128 divisors (see below), whose sum is σ = 3613812019200. Its totient is φ = 299477596800.

The previous prime is 1156210049993. The next prime is 1156210050077. The reversal of 1156210050072 is 2700500126511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156210050077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207954 + ... + 1534817.

It is an arithmetic number, because the mean of its divisors is an integer number (28232906400).

Almost surely, 21156210050072 is an apocalyptic number.

1156210050072 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 1156210050072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806906009600).

1156210050072 is an abundant number, since it is smaller than the sum of its proper divisors (2457601969128).

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

1156210050072 is a wasteful number, since it uses less digits than its factorization.

1156210050072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743157 (or 1743153 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

Adding to 1156210050072 its reverse (2700500126511), we get a palindrome (3856710176583).

The spelling of 1156210050072 in words is "one trillion, one hundred fifty-six billion, two hundred ten million, fifty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 359 462 616 718 924 1077 1436 1848 2154 2513 2872 3949 4308 5026 7539 7898 8616 10052 11847 15078 15796 20104 23694 27643 30156 31592 47388 55286 60312 82929 94776 110572 165858 221144 331716 663432 1742771 3485542 5228313 6971084 10456626 12199397 13942168 19170481 20913252 24398794 36598191 38340962 41826504 48797588 57511443 73196382 76681924 97595176 115022886 134193367 146392764 153363848 230045772 268386734 292785528 402580101 460091544 536773468 625654789 805160202 1073546936 1251309578 1610320404 1876964367 2502619156 3220640808 3753928734 4379583523 5005238312 6882202679 7507857468 8759167046 13138750569 13764405358 15015714936 17518334092 20646608037 26277501138 27528810716 35036668184 41293216074 48175418753 52555002276 55057621432 82586432148 96350837506 105110004552 144526256259 165172864296 192701675012 289052512518 385403350024 578105025036 1156210050072