Search a number
-
+
64199877893284 = 22741611306370181
BaseRepresentation
bin11101001100011101100101…
…11010101001110010100100
322102022110002212121020110211
432212032302322221302210
531403322322220041114
6344313003341225204
716344200552131360
oct1646166272516244
9272273085536424
1064199877893284
1119502019424331
12724a449262204
1329a903a5b22a3
1411bd40d8502a0
15764ebd4126c4
hex3a63b2ea9ca4

64199877893284 has 96 divisors (see below), whose sum is σ = 133699849661952. Its totient is φ = 26400705408000.

The previous prime is 64199877893273. The next prime is 64199877893293. The reversal of 64199877893284 is 48239877899146.

It is a super-3 number, since 3×641998778932843 (a number of 42 digits) contains 333 as substring.

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, 914740674 + ... + 914810854.

It is an arithmetic number, because the mean of its divisors is an integer number (1392706767312).

Almost surely, 264199877893284 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 64199877893284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66849924830976).

64199877893284 is an abundant number, since it is smaller than the sum of its proper divisors (69499971768668).

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

64199877893284 is a wasteful number, since it uses less digits than its factorization.

64199877893284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83357 (or 83355 counting only the distinct ones).

The product of its digits is 10534551552, while the sum is 85.

The spelling of 64199877893284 in words is "sixty-four trillion, one hundred ninety-nine billion, eight hundred seventy-seven million, eight hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 41 61 82 122 164 244 287 427 574 854 1148 1708 2501 5002 10004 13063 17507 26126 35014 52252 70028 70181 91441 140362 182882 280724 365764 491267 535583 796843 982534 1071166 1593686 1965068 2142332 2877421 3187372 3749081 4281041 5577901 5754842 7498162 8562082 11155802 11509684 14996324 17124164 20141947 22311604 29967287 32670563 40283894 59934574 65341126 80567788 119869148 130682252 175522681 228693941 351045362 457387882 702090724 914775764 916774403 1228658767 1833548806 2457317534 3667097612 4914635068 6417420821 12834841642 25669683284 37587750523 55923238583 75175501046 111846477166 150351002092 223692954332 263114253661 391462670081 526228507322 782925340162 1052457014644 1565850680324 2292852781903 4585705563806 9171411127612 16049969473321 32099938946642 64199877893284