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3964825982412 = 2233531039666667
BaseRepresentation
bin111001101100100010000…
…010110101010111001100
3112001000220112120110202000
4321230202002311113030
51004424430422414122
612233225500432300
7556310040535641
oct71544202652714
915030815513660
103964825982412
1112995229a4649
125404b0248690
13229b5c816b89
14d9c81a95dc8
156d2030040ac
hex39b220b55cc

3964825982412 has 96 divisors (see below), whose sum is σ = 10483220966400. Its totient is φ = 1295422704576.

The previous prime is 3964825982401. The next prime is 3964825982417. The reversal of 3964825982412 is 2142895284693.

3964825982412 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 8 + 2 + 598 + 24 + 12 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3964825982412.

It is not an unprimeable number, because it can be changed into a prime (3964825982417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5613903 + ... + 6280569.

It is an arithmetic number, because the mean of its divisors is an integer number (109200218400).

Almost surely, 23964825982412 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 3964825982412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241610483200).

3964825982412 is an abundant number, since it is smaller than the sum of its proper divisors (6518394983988).

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

3964825982412 is a wasteful number, since it uses less digits than its factorization.

3964825982412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667772 (or 667764 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 3964825982412 in words is "three trillion, nine hundred sixty-four billion, eight hundred twenty-five million, nine hundred eighty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1039 1431 1908 2078 2862 3117 4156 5724 6234 9351 12468 18702 28053 37404 55067 56106 110134 112212 165201 220268 330402 495603 660804 666667 991206 1333334 1486809 1982412 2000001 2666668 2973618 4000002 5947236 6000003 8000004 12000006 18000009 24000012 35333351 36000018 70666702 72000036 106000053 141333404 212000106 318000159 424000212 636000318 692667013 954000477 1272000636 1385334026 1908000954 2078001039 2770668052 3816001908 4156002078 6234003117 8312004156 12468006234 18702009351 24936012468 36711351689 37404018702 73422703378 74808037404 110134055067 146845406756 220268110134 330402165201 440536220268 660804330402 991206495603 1321608660804 1982412991206 3964825982412