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1145206594752 = 26311249294361
BaseRepresentation
bin10000101010100011101…
…000011101110011000000
311001110222102020201111220
4100222203220131303000
5122230340342013002
62234033423435040
7145511200304613
oct20524350356300
94043872221456
101145206594752
114017522a3800
12165b47455a80
1383cb974231c
143d5dd35417a
151ebc95ec7bc
hex10aa3a1dcc0

1145206594752 has 84 divisors (see below), whose sum is σ = 3330524274168. Its totient is φ = 347032294400.

The previous prime is 1145206594729. The next prime is 1145206594823. The reversal of 1145206594752 is 2574956025411.

It is a super-2 number, since 2×11452065947522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145206594695 and 1145206594704.

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 11 ways as a sum of consecutive naturals, for example, 24623949 + ... + 24670412.

It is an arithmetic number, because the mean of its divisors is an integer number (39649098502).

Almost surely, 21145206594752 is an apocalyptic number.

1145206594752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1145206594752 is an abundant number, since it is smaller than the sum of its proper divisors (2185317679416).

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

1145206594752 is a wasteful number, since it uses less digits than its factorization.

1145206594752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49294398 (or 49294377 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

It can be divided in two parts, 114520659 and 4752, that added together give a palindrome (114525411).

The spelling of 1145206594752 in words is "one trillion, one hundred forty-five billion, two hundred six million, five hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 49294361 98588722 147883083 197177444 295766166 394354888 542237971 591532332 788709776 1084475942 1183064664 1577419552 1626713913 2168951884 2366129328 3154839104 3253427826 4337903768 4732258656 5964617681 6506855652 8675807536 9464517312 11929235362 13013711304 17351615072 17893853043 23858470724 26027422608 34703230144 35787706086 47716941448 52054845216 71575412172 95433882896 104109690432 143150824344 190867765792 286301648688 381735531584 572603297376 1145206594752