Search a number
-
+
3630402841896 = 23321925031060249
BaseRepresentation
bin110100110101000100110…
…111110010110100101000
3110212001201000102201111200
4310311010313302310220
5433440031111420041
611415441204124200
7523200524000115
oct64650467626450
913761630381450
103630402841896
11117a71083a396
124a771a696660
1320446514a48c
14c79d8cc990c
156467d7611b6
hex34d44df2d28

3630402841896 has 96 divisors (see below), whose sum is σ = 10353977400000. Its totient is φ = 1145983894272.

The previous prime is 3630402841873. The next prime is 3630402841913. The reversal of 3630402841896 is 6981482040363.

3630402841896 is a `hidden beast` number, since 3 + 63 + 0 + 402 + 84 + 18 + 96 = 666.

3630402841896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 2893980 + ... + 3954228.

It is an arithmetic number, because the mean of its divisors is an integer number (107853931250).

Almost surely, 23630402841896 is an apocalyptic number.

3630402841896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630402841896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176988700000).

3630402841896 is an abundant number, since it is smaller than the sum of its proper divisors (6723574558104).

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

3630402841896 is a wasteful number, since it uses less digits than its factorization.

3630402841896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062783 (or 1062776 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3630402841896 in words is "three trillion, six hundred thirty billion, four hundred two million, eight hundred forty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2503 5006 7509 10012 15018 20024 22527 30036 45054 47557 60072 90108 95114 142671 180216 190228 285342 380456 428013 570684 856026 1060249 1141368 1712052 2120498 3180747 3424104 4240996 6361494 8481992 9542241 12722988 19084482 20144731 25445976 38168964 40289462 60434193 76337928 80578924 120868386 161157848 181302579 241736772 362605158 483473544 725210316 1450420632 2653803247 5307606494 7961409741 10615212988 15922819482 21230425976 23884229223 31845638964 47768458446 50422261693 63691277928 95536916892 100844523386 151266785079 191073833784 201689046772 302533570158 403378093544 453800355237 605067140316 907600710474 1210134280632 1815201420948 3630402841896