Search a number
-
+
34752644416 = 267536592221
BaseRepresentation
bin100000010111011010…
…110100010101000000
310022200222020020212101
4200113122310111000
51032133134110131
623544245440144
72340126414010
oct402732642500
9108628206771
1034752644416
1113813a64136
12689a710054
13337abc8b29
14197971bc40
15d85ebec61
hex8176b4540

34752644416 has 112 divisors (see below), whose sum is σ = 80459153280. Its totient is φ = 14584227840.

The previous prime is 34752644347. The next prime is 34752644467. The reversal of 34752644416 is 61444625743.

It is a tau number, because it is divible by the number of its divisors (112).

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, 15646186 + ... + 15648406.

Almost surely, 234752644416 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 34752644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40229576640).

34752644416 is an abundant number, since it is smaller than the sum of its proper divisors (45706508864).

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

34752644416 is a wasteful number, since it uses less digits than its factorization.

34752644416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2942 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 46.

The spelling of 34752644416 in words is "thirty-four billion, seven hundred fifty-two million, six hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 659 742 848 1318 1484 1696 2221 2636 2968 3392 4442 4613 5272 5936 8884 9226 10544 11872 15547 17768 18452 21088 23744 31094 34927 35536 36904 42176 62188 69854 71072 73808 117713 124376 139708 142144 147616 235426 244489 248752 279416 295232 470852 488978 497504 558832 823991 941704 977956 995008 1117664 1463639 1647982 1883408 1955912 2235328 2927278 3295964 3766816 3911824 5854556 6591928 7533632 7823648 10245473 11709112 13183856 15647296 20490946 23418224 26367712 40981892 46836448 52735424 77572867 81963784 93672896 155145734 163927568 310291468 327855136 543010069 620582936 655710272 1086020138 1241165872 2172040276 2482331744 4344080552 4964663488 8688161104 17376322208 34752644416