Search a number
-
+
9914557952 = 29133134759
BaseRepresentation
bin10010011101111010…
…00010011000000000
3221120221222201200002
421032331002120000
5130301111323302
64315451215132
7500456231525
oct111675023000
927527881602
109914557952
114228567152
121b084474a8
13c200a3050
146a0a8114c
153d0631c02
hex24ef42600

9914557952 has 80 divisors (see below), whose sum is σ = 21406234080. Its totient is φ = 4560371712.

The previous prime is 9914557921. The next prime is 9914557969. The reversal of 9914557952 is 2597554199.

Its product of digits (5103000) is a multiple of the sum of its prime factors (5103).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2080949 + ... + 2085707.

It is an arithmetic number, because the mean of its divisors is an integer number (267577926).

Almost surely, 29914557952 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 9914557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10703117040).

9914557952 is an abundant number, since it is smaller than the sum of its proper divisors (11491676128).

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

9914557952 is a wasteful number, since it uses less digits than its factorization.

9914557952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5087 counting only the distinct ones).

The product of its digits is 5103000, while the sum is 56.

The square root of 9914557952 is about 99571.8732976336. The cubic root of 9914557952 is about 2148.2811538483.

The spelling of 9914557952 in words is "nine billion, nine hundred fourteen million, five hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 313 416 512 626 832 1252 1664 2504 3328 4069 4759 5008 6656 8138 9518 10016 16276 19036 20032 32552 38072 40064 61867 65104 76144 80128 123734 130208 152288 160256 247468 260416 304576 494936 520832 609152 989872 1041664 1218304 1489567 1979744 2083328 2436608 2979134 3959488 5958268 7918976 11916536 15837952 19364371 23833072 31675904 38728742 47666144 77457484 95332288 154914968 190664576 309829936 381329152 619659872 762658304 1239319744 2478639488 4957278976 9914557952