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6374386872 = 2332727972267
BaseRepresentation
bin1011110111111000…
…10110110010111000
3121110020112101220200
411323330112302320
5101023320334442
62532305122200
7313651252200
oct57374266270
917406471820
106374386872
1127811a2227
12129a929360
137a7810069
14446827400
1527493c34c
hex17bf16cb8

6374386872 has 144 divisors (see below), whose sum is σ = 20116638360. Its totient is φ = 1818165888.

The previous prime is 6374386871. The next prime is 6374386883. The reversal of 6374386872 is 2786834736.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6374386871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2810683 + ... + 2812949.

Almost surely, 26374386872 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 6374386872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058319180).

6374386872 is an abundant number, since it is smaller than the sum of its proper divisors (13742251488).

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

6374386872 is a wasteful number, since it uses less digits than its factorization.

6374386872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3076 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 6374386872 is about 79839.7574645615. The cubic root of 6374386872 is about 1854.1554384886.

The spelling of 6374386872 in words is "six billion, three hundred seventy-four million, three hundred eighty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 797 882 1176 1594 1764 2267 2391 3188 3528 4534 4782 5579 6376 6801 7173 9068 9564 11158 13602 14346 15869 16737 18136 19128 20403 22316 27204 28692 31738 33474 39053 40806 44632 47607 50211 54408 57384 63476 66948 78106 81612 95214 100422 111083 117159 126952 133896 142821 156212 163224 190428 200844 222166 234318 285642 312424 333249 351477 380856 401688 444332 468636 571284 666498 702954 888664 937272 999747 1142568 1332996 1405908 1806799 1999494 2665992 2811816 3613598 3998988 5420397 7227196 7997976 10840794 12647593 14454392 16261191 21681588 25295186 32522382 37942779 43363176 50590372 65044764 75885558 88533151 101180744 113828337 130089528 151771116 177066302 227656674 265599453 303542232 354132604 455313348 531198906 708265208 796798359 910626696 1062397812 1593596718 2124795624 3187193436 6374386872