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6873868764 = 2233723074231
BaseRepresentation
bin1100110011011011…
…01110100111011100
3122202001101201021000
412121231232213130
5103034202300024
63054030510300
7332224630500
oct63155564734
918661351230
106873868764
112a08135384
1213ba065390
13857143389
14492cc6300
152a3701cc9
hex199b6e9dc

6873868764 has 144 divisors (see below), whose sum is σ = 20803157760. Its totient is φ = 1957102560.

The previous prime is 6873868741. The next prime is 6873868801. The reversal of 6873868764 is 4678683786.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622529 + ... + 1626759.

Almost surely, 26873868764 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 6873868764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401578880).

6873868764 is an abundant number, since it is smaller than the sum of its proper divisors (13929288996).

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

6873868764 is a wasteful number, since it uses less digits than its factorization.

6873868764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4550 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The square root of 6873868764 is about 82908.7978685013. The cubic root of 6873868764 is about 1901.3719328605.

The spelling of 6873868764 in words is "six billion, eight hundred seventy-three million, eight hundred sixty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 307 378 441 588 614 756 882 921 1228 1323 1764 1842 2149 2646 2763 3684 4231 4298 5292 5526 6447 8289 8462 8596 11052 12693 12894 15043 16578 16924 19341 25386 25788 29617 30086 33156 38079 38682 45129 50772 58023 59234 60172 76158 77364 88851 90258 114237 116046 118468 135387 152316 177702 180516 207319 228474 232092 266553 270774 355404 406161 414638 456948 533106 541548 621957 799659 812322 829276 1066212 1243914 1298917 1599318 1624644 1865871 2487828 2597834 3198636 3731742 3896751 5195668 5597613 7463484 7793502 9092419 11195226 11690253 15587004 18184838 22390452 23380506 27277257 35070759 36369676 46761012 54554514 63646933 70141518 81831771 109109028 127293866 140283036 163663542 190940799 245495313 254587732 327327084 381881598 490990626 572822397 763763196 981981252 1145644794 1718467191 2291289588 3436934382 6873868764