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682574646072 = 2331135314894919
BaseRepresentation
bin10011110111011001001…
…11101000101100111000
32102020211210121200221010
421323230213220230320
542140403102133242
61241323115313520
7100212556522254
oct11735447505470
92366753550833
10682574646072
11243529658350
12b0354a4b8a0
134c49c2c8c27
1425072d41264
1512b4e3ae89c
hex9eec9e8b38

682574646072 has 128 divisors (see below), whose sum is σ = 1868474304000. Its totient is φ = 206074429440.

The previous prime is 682574646007. The next prime is 682574646157. The reversal of 682574646072 is 270646475286.

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, 138760429 + ... + 138765347.

It is an arithmetic number, because the mean of its divisors is an integer number (14597455500).

Almost surely, 2682574646072 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 682574646072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934237152000).

682574646072 is an abundant number, since it is smaller than the sum of its proper divisors (1185899657928).

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

682574646072 is a wasteful number, since it uses less digits than its factorization.

682574646072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 682574646072 in words is "six hundred eighty-two billion, five hundred seventy-four million, six hundred forty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 353 706 1059 1412 1489 2118 2824 2978 3883 4236 4467 4919 5956 7766 8472 8934 9838 11649 11912 14757 15532 16379 17868 19676 23298 29514 31064 32758 35736 39352 46596 49137 54109 59028 65516 93192 98274 108218 118056 131032 162327 196548 216436 324654 393096 432872 525617 649308 1051234 1298616 1576851 1736407 2102468 3153702 3472814 4204936 5209221 5781787 6307404 6945628 7324391 10418442 11563574 12614808 13891256 14648782 17345361 19100477 20836884 21973173 23127148 29297564 34690722 38200954 41673768 43946346 46254296 57301431 58595128 69381444 76401908 80568301 87892692 114602862 138762888 152803816 161136602 175785384 229205724 241704903 322273204 458411448 483409806 644546408 966819612 1933639224 2585510023 5171020046 7756530069 10342040092 15513060138 20684080184 28440610253 31026120276 56881220506 62052240552 85321830759 113762441012 170643661518 227524882024 341287323036 682574646072