Search a number
-
+
64199716320 = 2535419319211
BaseRepresentation
bin111011110010100110…
…011110110111100000
320010201012002111111010
4323302212132313200
52022440111410240
645254250420520
74431633404415
oct736246366740
9203635074433
1064199716320
11252550800a3
1210538431740
136091866a2c
14317055410c
151a0b2c8280
hexef299ede0

64199716320 has 96 divisors (see below), whose sum is σ = 202712388480. Its totient is φ = 17079011840.

The previous prime is 64199716297. The next prime is 64199716327. The reversal of 64199716320 is 2361799146.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64199716320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64199716327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41515 + ... + 360725.

It is an arithmetic number, because the mean of its divisors is an integer number (2111587380).

Almost surely, 264199716320 is an apocalyptic number.

64199716320 is a gapful number since it is divisible by the number (60) 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 64199716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101356194240).

64199716320 is an abundant number, since it is smaller than the sum of its proper divisors (138512672160).

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

64199716320 is a wasteful number, since it uses less digits than its factorization.

64199716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319648 (or 319640 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 64199716320 in words is "sixty-four billion, one hundred ninety-nine million, seven hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 419 480 838 1257 1676 2095 2514 3352 4190 5028 6285 6704 8380 10056 12570 13408 16760 20112 25140 33520 40224 50280 67040 100560 201120 319211 638422 957633 1276844 1596055 1915266 2553688 3192110 3830532 4788165 5107376 6384220 7661064 9576330 10214752 12768440 15322128 19152660 25536880 30644256 38305320 51073760 76610640 133749409 153221280 267498818 401248227 534997636 668747045 802496454 1069995272 1337494090 1604992908 2006241135 2139990544 2674988180 3209985816 4012482270 4279981088 5349976360 6419971632 8024964540 10699952720 12839943264 16049929080 21399905440 32099858160 64199716320