Search a number
-
+
7376940042912 = 2532114354153013
BaseRepresentation
bin110101101011001001111…
…1001000000101010100000
3222010020011122011011010100
41223112103321000222200
51431330433122333122
623404530334502400
71360652310523506
oct153262371005240
928106148134110
107376940042912
1123945a7379670
129b184a364a00
1341684764423b
141b708d980676
15cbd578e2aac
hex6b593e40aa0

7376940042912 has 144 divisors (see below), whose sum is σ = 23417496150048. Its totient is φ = 2183449443840.

The previous prime is 7376940042893. The next prime is 7376940042949. The reversal of 7376940042912 is 2192400496737.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 26940283 + ... + 27212730.

It is an arithmetic number, because the mean of its divisors is an integer number (162621501042).

Almost surely, 27376940042912 is an apocalyptic number.

7376940042912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7376940042912 is an abundant number, since it is smaller than the sum of its proper divisors (16040556107136).

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

7376940042912 is a wasteful number, since it uses less digits than its factorization.

7376940042912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54153083 (or 54153072 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 7376940042912 in words is "seven trillion, three hundred seventy-six billion, nine hundred forty million, forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 66 72 86 88 96 99 129 132 144 172 176 198 258 264 288 344 352 387 396 473 516 528 688 774 792 946 1032 1056 1376 1419 1548 1584 1892 2064 2838 3096 3168 3784 4128 4257 5676 6192 7568 8514 11352 12384 15136 17028 22704 34056 45408 68112 136224 54153013 108306026 162459039 216612052 324918078 433224104 487377117 595683143 649836156 866448208 974754234 1191366286 1299672312 1732896416 1787049429 1949508468 2328579559 2382732572 2599344624 3574098858 3899016936 4657159118 4765465144 5198689248 5361148287 6985738677 7148197716 7798033872 9314318236 9530930288 10722296574 13971477354 14296395432 15596067744 18628636472 19061860576 20957216031 21444593148 25614375149 27942954708 28592790864 37257272944 41914432062 42889186296 51228750298 55885909416 57185581728 74514545888 76843125447 83828864124 85778372592 102457500596 111771818832 153686250894 167657728248 171556745184 204915001192 223543637664 230529376341 307372501788 335315456496 409830002384 461058752682 614745003576 670630912992 819660004768 922117505364 1229490007152 1844235010728 2458980014304 3688470021456 7376940042912