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1553616864312 = 2331912726827201
BaseRepresentation
bin10110100110111010110…
…010000000010000111000
312111112011020020001102220
4112212322302000100320
5200423301404124222
63145415521124040
7220150034312142
oct26467262002070
95445136201386
101553616864312
115499812430a7
12211127189620
13b36755bc516
14552a4499c92
152a62e532b5c
hex169bac80438

1553616864312 has 64 divisors (see below), whose sum is σ = 4120658227200. Its totient is φ = 486752716800.

The previous prime is 1553616864307. The next prime is 1553616864313. The reversal of 1553616864312 is 2134686163551.

It is a happy number.

It is a super-2 number, since 2×15536168643122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553616864313) 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, 13355689 + ... + 13471512.

It is an arithmetic number, because the mean of its divisors is an integer number (64385284800).

Almost surely, 21553616864312 is an apocalyptic number.

1553616864312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1553616864312 is an abundant number, since it is smaller than the sum of its proper divisors (2567041362888).

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

1553616864312 is a wasteful number, since it uses less digits than its factorization.

1553616864312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26827356 (or 26827352 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 1553616864312 in words is "one trillion, five hundred fifty-three billion, six hundred sixteen million, eight hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 381 456 508 762 1016 1524 2413 3048 4826 7239 9652 14478 19304 28956 57912 26827201 53654402 80481603 107308804 160963206 214617608 321926412 509716819 643852824 1019433638 1529150457 2038867276 3058300914 3407054527 4077734552 6116601828 6814109054 10221163581 12233203656 13628218108 20442327162 27256436216 40884654324 64734036013 81769308648 129468072026 194202108039 258936144052 388404216078 517872288104 776808432156 1553616864312