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3201240782684 = 22729151181144247
BaseRepresentation
bin101110100101011000110…
…100011101011101011100
3102100000221222022020210202
4232211120310131131130
5404422120120021214
610450344003523032
7450165505454240
oct56453064353534
912300858266722
103201240782684
111024702a6930a
12438509089478
131a2b4cc223c9
14b0d25ac2420
1558411aac6de
hex2e958d1d75c

3201240782684 has 96 divisors (see below), whose sum is σ = 6704000808960. Its totient is φ = 1308599712000.

The previous prime is 3201240782671. The next prime is 3201240782689. The reversal of 3201240782684 is 4862870421023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201240782689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22120649 + ... + 22264895.

It is an arithmetic number, because the mean of its divisors is an integer number (69833341760).

Almost surely, 23201240782684 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 3201240782684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352000404480).

3201240782684 is an abundant number, since it is smaller than the sum of its proper divisors (3502760026276).

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

3201240782684 is a wasteful number, since it uses less digits than its factorization.

3201240782684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144619 (or 144617 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 47.

The spelling of 3201240782684 in words is "three trillion, two hundred one billion, two hundred forty million, seven hundred eighty-two thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 29 58 116 151 181 203 302 362 406 604 724 812 1057 1267 2114 2534 4228 4379 5068 5249 8758 10498 17516 20996 27331 30653 36743 54662 61306 73486 109324 122612 144247 146972 191317 288494 382634 576988 765268 792599 1009729 1585198 2019458 3170396 4038916 4183163 5548193 8366326 11096386 16732652 21781297 22192772 26108707 29282141 43562594 52217414 58564282 87125188 104434828 117128564 152469079 182760949 304938158 365521898 609876316 631657613 731043796 757152503 1263315226 1514305006 2526630452 3028610012 3942414757 4421603291 5300067521 7884829514 8843206582 10600135042 15769659028 17686413164 21200270084 27596903299 55193806598 110387613196 114330027953 228660055906 457320111812 800310195671 1600620391342 3201240782684