Search a number
-
+
6891046974 = 23572388069
BaseRepresentation
bin1100110101011110…
…10000100000111110
3122210020201110100000
412122233100200332
5103103102000344
63055443015130
7332523634650
oct63257204076
918706643300
106891046974
112a168a8649
12140396a4a6
1385a8792b6
144952b86d0
152a4e96a69
hex19abd083e

6891046974 has 96 divisors (see below), whose sum is σ = 18465108480. Its totient is φ = 1883246112.

The previous prime is 6891046973. The next prime is 6891046979. The reversal of 6891046974 is 4796401986.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6891046974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6891046973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34212 + ... + 122280.

It is an arithmetic number, because the mean of its divisors is an integer number (192344880).

Almost surely, 26891046974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6891046974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9232554240).

6891046974 is an abundant number, since it is smaller than the sum of its proper divisors (11574061506).

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

6891046974 is a wasteful number, since it uses less digits than its factorization.

6891046974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88116 (or 88104 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6891046974 is about 83012.3302528004. The cubic root of 6891046974 is about 1902.9544960888.

The spelling of 6891046974 in words is "six billion, eight hundred ninety-one million, forty-six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 243 322 378 414 483 486 567 621 966 1134 1242 1449 1701 1863 2898 3402 3726 4347 5589 8694 11178 13041 26082 39123 78246 88069 176138 264207 528414 616483 792621 1232966 1585242 1849449 2025587 2377863 3698898 4051174 4755726 5548347 6076761 7133589 11096694 12153522 14179109 14267178 16645041 18230283 21400767 28358218 33290082 36460566 42537327 42801534 49935123 54690849 85074654 99870246 109381698 127611981 149805369 164072547 255223962 299610738 328145094 382835943 492217641 765671886 984435282 1148507829 2297015658 3445523487 6891046974