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3975840800811 = 37111716575867
BaseRepresentation
bin111001110110110010100…
…101000010000000101011
3112002002100011220020000000
4321312302211002000223
51010120010221111221
612242250454314043
7560150020130055
oct71666245020053
915062304806000
103975840800811
1112a3165533750
12542665058923
1322abc682c2b9
14da6089028d5
156d64a01de26
hex39db294202b

3975840800811 has 128 divisors (see below), whose sum is σ = 6892903941120. Its totient is φ = 2266104314880.

The previous prime is 3975840800801. The next prime is 3975840800837. The reversal of 3975840800811 is 1180080485793.

It is not a de Polignac number, because 3975840800811 - 215 = 3975840768043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3975840800801) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 677658700 + ... + 677664566.

It is an arithmetic number, because the mean of its divisors is an integer number (53850812040).

Almost surely, 23975840800811 is an apocalyptic number.

3975840800811 is a deficient number, since it is larger than the sum of its proper divisors (2917063140309).

3975840800811 is a wasteful number, since it uses less digits than its factorization.

3975840800811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 3975840800811 in words is "three trillion, nine hundred seventy-five billion, eight hundred forty million, eight hundred thousand, eight hundred eleven".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 243 297 459 561 729 891 1377 1657 1683 2187 2673 4131 4971 5049 5867 8019 12393 14913 15147 17601 18227 24057 28169 37179 44739 45441 52803 54681 64537 84507 99739 134217 136323 158409 164043 193611 253521 299217 309859 402651 408969 475227 492129 580833 760563 897651 929577 1097129 1207953 1425681 1476387 1742499 2281689 2692953 2788731 3291387 3623859 4277043 4429161 5227497 6845067 8078859 8366193 9721619 9874161 12831129 13287483 15682491 20535201 24236577 25098579 29164857 29622483 39862449 47047473 61605603 72709731 75295737 87494571 88867449 106937809 141142419 165267523 218129193 225887211 262483713 266602347 320813427 495802569 677661633 787451139 799807041 962440281 1487407707 1817942753 2362353417 2399421123 2887320843 4462223121 5453828259 7087060251 8661962529 13386669363 16361484777 21261180753 25985887587 40160008089 49084454331 77957662761 120480024267 147253362993 233872988283 361440072801 441760088979 1325280266937 3975840800811