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1329707972745 = 33537951259537
BaseRepresentation
bin10011010110011000110…
…001010111100010001001
311201010012122010211112000
4103112120301113202021
5133241220220111440
62454505344341213
7165032255164665
oct23263061274211
94633178124460
101329707972745
11472a20537889
12195858614809
1398510b23639
1448502cd78a5
15248c70b7730
hex13598c57889

1329707972745 has 32 divisors (see below), whose sum is σ = 2363996682240. Its totient is φ = 709156166400.

The previous prime is 1329707972699. The next prime is 1329707972759. The reversal of 1329707972745 is 5472797079231.

1329707972745 is a `hidden beast` number, since 1 + 3 + 297 + 0 + 79 + 7 + 274 + 5 = 666.

It is not a de Polignac number, because 1329707972745 - 213 = 1329707964553 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4993617 + ... + 5253153.

It is an arithmetic number, because the mean of its divisors is an integer number (73874896320).

Almost surely, 21329707972745 is an apocalyptic number.

1329707972745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1329707972745 is a deficient number, since it is larger than the sum of its proper divisors (1034288709495).

1329707972745 is a wasteful number, since it uses less digits than its factorization.

1329707972745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297502 (or 297496 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 1329707972745 in words is "one trillion, three hundred twenty-nine billion, seven hundred seven million, nine hundred seventy-two thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 37951 113853 189755 259537 341559 569265 778611 1024677 1297685 1707795 2335833 3893055 5123385 7007499 11679165 35037495 9849688687 29549066061 49248443435 88647198183 147745330305 265941594549 443235990915 1329707972745