Search a number
-
+
814939472032 = 25737971013687
BaseRepresentation
bin10111101101111100010…
…11011000000010100000
32212220111112101112220121
423312332023120002200
5101322444001101112
61422213353050024
7112606650135040
oct13667613300240
92786445345817
10814939472032
112946830a51a4
12111b356b6914
135bb050c235a
142b62c511720
15162e9b4c407
hexbdbe2d80a0

814939472032 has 96 divisors (see below), whose sum is σ = 1902586952448. Its totient is φ = 336316686336.

The previous prime is 814939471999. The next prime is 814939472063. The reversal of 814939472032 is 230274939418.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297093 + ... + 1310779.

It is an arithmetic number, because the mean of its divisors is an integer number (19818614088).

Almost surely, 2814939472032 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 814939472032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951293476224).

814939472032 is an abundant number, since it is smaller than the sum of its proper divisors (1087647480416).

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

814939472032 is a wasteful number, since it uses less digits than its factorization.

814939472032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013838 (or 1013830 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 814939472032 in words is "eight hundred fourteen billion, nine hundred thirty-nine million, four hundred seventy-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 97 112 148 194 224 259 296 388 518 592 679 776 1036 1184 1358 1552 2072 2716 3104 3589 4144 5432 7178 8288 10864 14356 21728 25123 28712 50246 57424 100492 114848 200984 401968 803936 1013687 2027374 4054748 7095809 8109496 14191618 16218992 28383236 32437984 37506419 56766472 75012838 98327639 113532944 150025676 196655278 227065888 262544933 300051352 393310556 525089866 600102704 688293473 786621112 1050179732 1200205408 1376586946 1573242224 2100359464 2753173892 3146484448 3638122643 4200718928 5506347784 7276245286 8401437856 11012695568 14552490572 22025391136 25466858501 29104981144 50933717002 58209962288 101867434004 116419924576 203734868008 407469736016 814939472032