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4233412056664 = 2372337223398353
BaseRepresentation
bin111101100110101011000…
…001011001011001011000
3112222201011202122201121201
4331212223001121121120
51023330011441303124
613000445212243544
7614565616520050
oct75465301313130
915881152581551
104233412056664
11139241a81753a
125845691705b4
1324929436752b
14108c80a94560
15751c2893144
hex3d9ab059658

4233412056664 has 128 divisors (see below), whose sum is σ = 9765473034240. Its totient is φ = 1680956209152.

The previous prime is 4233412056637. The next prime is 4233412056677. The reversal of 4233412056664 is 4666502143324.

It is a happy number.

4233412056664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10428112 + ... + 10826464.

It is an arithmetic number, because the mean of its divisors is an integer number (76292758080).

Almost surely, 24233412056664 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 4233412056664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882736517120).

4233412056664 is an abundant number, since it is smaller than the sum of its proper divisors (5532060977576).

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

4233412056664 is a wasteful number, since it uses less digits than its factorization.

4233412056664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398649 (or 398645 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 46.

Adding to 4233412056664 its reverse (4666502143324), we get a palindrome (8899914199988).

The spelling of 4233412056664 in words is "four trillion, two hundred thirty-three billion, four hundred twelve million, fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 23 28 37 46 56 74 92 148 161 184 223 259 296 322 446 518 644 851 892 1036 1288 1561 1702 1784 2072 3122 3404 5129 5957 6244 6808 8251 10258 11914 12488 16502 20516 23828 33004 35903 41032 47656 57757 66008 71806 115514 143612 189773 231028 287224 379546 398353 462056 759092 796706 1328411 1518184 1593412 2656822 2788471 3186824 5313644 5576942 9162119 10627288 11153884 14739061 18324238 22307768 29478122 36648476 58956244 64134833 73296952 88832719 103173427 117912488 128269666 177665438 206346854 256539332 338998403 355330876 412693708 513078664 621829033 677996806 710661752 825387416 1243658066 1355993612 2043152537 2372988821 2487316132 2711987224 3286810603 4086305074 4745977642 4974632264 6573621206 8172610148 9491955284 13147242412 14302067759 16345220296 18983910568 23007674221 26294484824 28604135518 46015348442 57208271036 75596643869 92030696884 114416542072 151193287738 184061393768 302386575476 529176507083 604773150952 1058353014166 2116706028332 4233412056664