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1145324456562 = 23111329367125423
BaseRepresentation
bin10000101010101010101…
…010000100101001110010
311001111021122000201112010
4100222222222010221302
5122231111030102222
62234053233543350
7145514131152216
oct20525252045162
94044248021463
101145324456562
11401802885060
12165b7aa14b56
1384007c9ac40
143d610c74946
151ebd4b2e80c
hex10aaaa84a72

1145324456562 has 128 divisors (see below), whose sum is σ = 2791516815360. Its totient is φ = 308477917440.

The previous prime is 1145324456561. The next prime is 1145324456599. The reversal of 1145324456562 is 2656544235411.

It is a super-2 number, since 2×11453244565622 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145324456561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9068983 + ... + 9194405.

It is an arithmetic number, because the mean of its divisors is an integer number (21808725120).

Almost surely, 21145324456562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145324456562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395758407680).

1145324456562 is an abundant number, since it is smaller than the sum of its proper divisors (1646192358798).

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

1145324456562 is a wasteful number, since it uses less digits than its factorization.

1145324456562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125848.

The product of its digits is 3456000, while the sum is 48.

The spelling of 1145324456562 in words is "one trillion, one hundred forty-five billion, three hundred twenty-four million, four hundred fifty-six thousand, five hundred sixty-two".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 319 367 377 429 638 734 754 858 957 1101 1131 1914 2202 2262 4037 4147 4771 8074 8294 9542 10643 12111 12441 14313 21286 24222 24882 28626 31929 52481 63858 104962 117073 125423 138359 157443 234146 250846 276718 314886 351219 376269 415077 702438 752538 830154 1379653 1521949 1630499 2759306 3043898 3260998 3637267 4138959 4565847 4891497 7274534 8277918 9131694 9782994 10911801 17935489 21823602 35870978 40009937 46030241 47284471 53806467 80019874 92060482 94568942 107612934 120029811 138090723 141853413 240059622 276181446 283706826 506332651 520129181 598393133 1012665302 1040258362 1196786266 1334876989 1518997953 1560387543 1795179399 2669753978 3037995906 3120775086 3590358798 4004630967 6582324463 8009261934 13164648926 14683646879 17353400857 19746973389 29367293758 34706801714 39493946778 44050940637 52060202571 88101881274 104120405142 190887409427 381774818854 572662228281 1145324456562