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13445505115152 = 2431175389337781
BaseRepresentation
bin1100001110101000011010…
…0011100110010000010000
31202121101012100222021001120
43003222012203212100100
53230242343302141102
644332440233202240
72555256102530535
oct303520643462020
952541170867046
1013445505115152
114314230128680
1216119b4560380
13766ba0a60ca6
14346aa1980d8c
15184b35ee76bc
hexc3a868e6410

13445505115152 has 80 divisors (see below), whose sum is σ = 37892492850240. Its totient is φ = 4074329382400.

The previous prime is 13445505115127. The next prime is 13445505115157. The reversal of 13445505115152 is 25151150554431.

It is not an unprimeable number, because it can be changed into a prime (13445505115157) 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 15 ways as a sum of consecutive naturals, for example, 39636502 + ... + 39974282.

It is an arithmetic number, because the mean of its divisors is an integer number (473656160628).

Almost surely, 213445505115152 is an apocalyptic number.

13445505115152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13445505115152 is an abundant number, since it is smaller than the sum of its proper divisors (24446987735088).

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

13445505115152 is a wasteful number, since it uses less digits than its factorization.

13445505115152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413192 (or 413186 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 42.

Adding to 13445505115152 its reverse (25151150554431), we get a palindrome (38596655669583).

The spelling of 13445505115152 in words is "thirteen trillion, four hundred forty-five billion, five hundred five million, one hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 75389 150778 226167 301556 337781 452334 603112 675562 829279 904668 1013343 1206224 1351124 1658558 1809336 2026686 2487837 2702248 3317116 3618672 3715591 4053372 4975674 5404496 6634232 7431182 8106744 9951348 11146773 13268464 14862364 16213488 19902696 22293546 29724728 39805392 44587092 59449456 89174184 178348368 25464971809 50929943618 76394915427 101859887236 152789830854 203719774472 280114689899 305579661708 407439548944 560229379798 611159323416 840344069697 1120458759596 1222318646832 1680688139394 2240917519192 3361376278788 4481835038384 6722752557576 13445505115152