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64381986032 = 24713231999661
BaseRepresentation
bin111011111101011101…
…110010010011110000
320011011220001202112012
4323331131302103300
52023323242023112
645324321222052
74436305565120
oct737535622360
9204156052465
1064381986032
1125338a53021
1210589491928
1360c0553a30
14318a83cc80
151a1c2ce022
hexefd7724f0

64381986032 has 160 divisors (see below), whose sum is σ = 161023027200. Its totient is φ = 24237480960.

The previous prime is 64381985957. The next prime is 64381986043. The reversal of 64381986032 is 23068918346.

It is a happy number.

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, 6659282 + ... + 6668942.

It is an arithmetic number, because the mean of its divisors is an integer number (1006393920).

Almost surely, 264381986032 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 64381986032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80511513600).

64381986032 is an abundant number, since it is smaller than the sum of its proper divisors (96641041168).

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

64381986032 is a wasteful number, since it uses less digits than its factorization.

64381986032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9911 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 64381986032 in words is "sixty-four billion, three hundred eighty-one million, nine hundred eighty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 199 208 299 322 364 368 398 598 644 728 796 1196 1288 1393 1456 1592 2093 2392 2576 2587 2786 3184 4186 4577 4784 5174 5572 8372 9154 9661 10348 11144 16744 18109 18308 19322 20696 22288 32039 33488 36218 36616 38644 41392 59501 64078 67627 72436 73232 77288 119002 125593 128156 135254 144872 154576 222203 238004 251186 256312 270508 289744 416507 444406 476008 502372 512624 541016 833014 879151 888812 952016 1004744 1082032 1555421 1666028 1758302 1777624 1922539 2009488 2888639 3110842 3332056 3516604 3555248 3845078 5777278 6221684 6664112 7033208 7690156 11554556 12443368 13457773 14066416 15380312 20220473 23109112 24886736 24993007 26915546 30760624 40440946 44218397 46218224 49986014 53831092 80881892 88436794 99972028 107662184 161763784 174951049 176873588 199944056 215324368 309528779 323527568 349902098 353747176 399888112 574839161 619057558 699804196 707494352 1149678322 1238115116 1399608392 2299356644 2476230232 2799216784 4023874127 4598713288 4952460464 8047748254 9197426576 16095496508 32190993016 64381986032