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36930018768 = 2433179314159
BaseRepresentation
bin100010011001001100…
…110101110111010000
310112022201100022221220
4202121030311313100
51101113041100033
624544310245040
72445105660126
oct423114656720
9115281308856
1036930018768
111473103a775
1271a7956780
133637037c16
141b04989916
15e6221cbb3
hex899335dd0

36930018768 has 80 divisors (see below), whose sum is σ = 99726950400. Its totient is φ = 11762075520.

The previous prime is 36930018761. The next prime is 36930018787. The reversal of 36930018768 is 86781003963.

It is a self number, because there is not a number n which added to its sum of digits gives 36930018768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36930018761) 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, 39528 + ... + 274631.

It is an arithmetic number, because the mean of its divisors is an integer number (1246586880).

Almost surely, 236930018768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36930018768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49863475200).

36930018768 is an abundant number, since it is smaller than the sum of its proper divisors (62796931632).

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

36930018768 is a wasteful number, since it uses less digits than its factorization.

36930018768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314280 (or 314274 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 36930018768 in words is "thirty-six billion, nine hundred thirty million, eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 124 158 186 237 248 316 372 474 496 632 744 948 1264 1488 1896 2449 3792 4898 7347 9796 14694 19592 29388 39184 58776 117552 314159 628318 942477 1256636 1884954 2513272 3769908 5026544 7539816 9738929 15079632 19477858 24818561 29216787 38955716 49637122 58433574 74455683 77911432 99274244 116867148 148911366 155822864 198548488 233734296 297822732 397096976 467468592 595645464 769375391 1191290928 1538750782 2308126173 3077501564 4616252346 6155003128 9232504692 12310006256 18465009384 36930018768