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60829071472 = 24133127734057
BaseRepresentation
bin111000101001101100…
…011111100001110000
312211000021122000000001
4320221230133201300
51444034220241342
643540002035344
74252254401461
oct705154374160
9184007560001
1060829071472
11238854747a4
12b957648b54
13597544b520
142d30a28d68
1518b041d8b7
hexe29b1f870

60829071472 has 80 divisors (see below), whose sum is σ = 131493306112. Its totient is φ = 27070433280.

The previous prime is 60829071439. The next prime is 60829071529. The reversal of 60829071472 is 27417092806.

60829071472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×608290714722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1769068 + ... + 1803124.

Almost surely, 260829071472 is an apocalyptic number.

60829071472 is a gapful number since it is divisible by the number (62) 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 60829071472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65746653056).

60829071472 is an abundant number, since it is smaller than the sum of its proper divisors (70664234640).

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

60829071472 is a wasteful number, since it uses less digits than its factorization.

60829071472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34386 (or 34380 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 60829071472 in words is "sixty billion, eight hundred twenty-nine million, seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 277 403 496 554 806 1108 1612 2216 3224 3601 4432 6448 7202 8587 14404 17174 28808 34057 34348 57616 68114 68696 111631 136228 137392 223262 272456 442741 446524 544912 885482 893048 1055767 1770964 1786096 2111534 3541928 4223068 7083856 8446136 9433789 13724971 16892272 18867578 27449942 37735156 54899884 75470312 109799768 122639257 150940624 219599536 245278514 292447459 490557028 584894918 981114056 1169789836 1962228112 2339579672 3801816967 4679159344 7603633934 15207267868 30414535736 60829071472