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6996486432 = 2531321922697
BaseRepresentation
bin1101000010000010…
…11110100100100000
3200001121010100002010
412201001132210200
5103312100031212
63114130552520
7335244103425
oct64101364440
920047110063
106996486432
112a703748a1
121433138740
13876675900
144a52c3d4c
152ae37303c
hex1a105e920

6996486432 has 144 divisors (see below), whose sum is σ = 20934819360. Its totient is φ = 2039371776.

The previous prime is 6996486421. The next prime is 6996486463. The reversal of 6996486432 is 2346846996.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296908 + ... + 319604.

It is an arithmetic number, because the mean of its divisors is an integer number (145380690).

Almost surely, 26996486432 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 6996486432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10467409680).

6996486432 is an abundant number, since it is smaller than the sum of its proper divisors (13938332928).

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

6996486432 is a wasteful number, since it uses less digits than its factorization.

6996486432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22755 (or 22734 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 57.

The square root of 6996486432 is about 83645.0024329009. The cubic root of 6996486432 is about 1912.6110714082.

The spelling of 6996486432 in words is "six billion, nine hundred ninety-six million, four hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 169 208 228 247 304 312 338 416 456 494 507 608 624 676 741 912 988 1014 1248 1352 1482 1824 1976 2028 2704 2964 3211 3952 4056 5408 5928 6422 7904 8112 9633 11856 12844 16224 19266 22697 23712 25688 38532 45394 51376 68091 77064 90788 102752 136182 154128 181576 272364 295061 308256 363152 431243 544728 590122 726304 862486 885183 1089456 1180244 1293729 1724972 1770366 2178912 2360488 2587458 3449944 3540732 3835793 4720976 5174916 5606159 6899888 7081464 7671586 9441952 10349832 11212318 11507379 13799776 14162928 15343172 16818477 20699664 22424636 23014758 28325856 30686344 33636954 41399328 44849272 46029516 61372688 67273908 72880067 89698544 92059032 122745376 134547816 145760134 179397088 184118064 218640201 269095632 291520268 368236128 437280402 538191264 583040536 874560804 1166081072 1749121608 2332162144 3498243216 6996486432