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6890868936 = 233474673253
BaseRepresentation
bin1100110101011101…
…00101000011001000
3122210020101102010000
412122232211003020
5103103030301221
63055435123000
7332522263620
oct63256450310
918706342100
106890868936
112a16796906
1214038a3460
1385a816253
1449526d880
152a4e5de26
hex19aba50c8

6890868936 has 160 divisors (see below), whose sum is σ = 22112101440. Its totient is φ = 1963999872.

The previous prime is 6890868917. The next prime is 6890868953. The reversal of 6890868936 is 6398680986.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2116686 + ... + 2119938.

It is an arithmetic number, because the mean of its divisors is an integer number (138200634).

Almost surely, 26890868936 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 6890868936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11056050720).

6890868936 is an abundant number, since it is smaller than the sum of its proper divisors (15221232504).

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

6890868936 is a wasteful number, since it uses less digits than its factorization.

6890868936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The square root of 6890868936 is about 83011.2578871083. The cubic root of 6890868936 is about 1902.9381076197.

It can be divided in two parts, 6890 and 868936, that added together give a triangular number (875826 = T1323).

The spelling of 6890868936 in words is "six billion, eight hundred ninety million, eight hundred sixty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 467 504 567 648 756 934 1134 1401 1512 1868 2268 2802 3253 3269 3736 4203 4536 5604 6506 6538 8406 9759 9807 11208 12609 13012 13076 16812 19518 19614 22771 25218 26024 26152 29277 29421 33624 37827 39036 39228 45542 50436 58554 58842 68313 75654 78072 78456 87831 88263 91084 100872 117108 117684 136626 151308 175662 176526 182168 204939 234216 235368 263493 264789 273252 302616 351324 353052 409878 526986 529578 546504 614817 702648 706104 819756 1053972 1059156 1229634 1519151 1639512 1844451 2107944 2118312 2459268 3038302 3688902 4557453 4918536 6076604 7377804 9114906 10634057 12153208 13672359 14755608 18229812 21268114 27344718 31902171 36459624 41017077 42536228 54689436 63804342 82034154 85072456 95706513 109378872 123051231 127608684 164068308 191413026 246102462 255217368 287119539 328136616 382826052 492204924 574239078 765652104 861358617 984409848 1148478156 1722717234 2296956312 3445434468 6890868936