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2750405632 = 21013307673
BaseRepresentation
bin1010001111101111…
…1101110000000000
321002200101002020021
42203323331300000
521113100440012
61132530423224
7125105030212
oct24373756000
97080332207
102750405632
111191594507
12649131b14
1334aa84670
141c13d45b2
151116e0007
hexa3efdc00

2750405632 has 88 divisors (see below), whose sum is σ = 5949171536. Its totient is φ = 1263403008.

The previous prime is 2750405621. The next prime is 2750405633. The reversal of 2750405632 is 2365040572.

2750405632 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 2×27504056322 = 15129462281074638848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2750405633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4086448 + ... + 4087120.

It is an arithmetic number, because the mean of its divisors is an integer number (67604222).

Almost surely, 22750405632 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 2750405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974585768).

2750405632 is an abundant number, since it is smaller than the sum of its proper divisors (3198765904).

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

2750405632 is a wasteful number, since it uses less digits than its factorization.

2750405632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 2750405632 is about 52444.3098152698. The cubic root of 2750405632 is about 1401.0885465967.

The spelling of 2750405632 in words is "two billion, seven hundred fifty million, four hundred five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 307 416 512 614 673 832 1024 1228 1346 1664 2456 2692 3328 3991 4912 5384 6656 7982 8749 9824 10768 13312 15964 17498 19648 21536 31928 34996 39296 43072 63856 69992 78592 86144 127712 139984 157184 172288 206611 255424 279968 314368 344576 413222 510848 559936 689152 826444 1021696 1119872 1652888 2043392 2239744 2685943 3305776 4086784 4479488 5371886 6611552 8958976 10743772 13223104 21487544 26446208 42975088 52892416 85950176 105784832 171900352 211569664 343800704 687601408 1375202816 2750405632