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6994544352 = 253237014519
BaseRepresentation
bin1101000001110100…
…00100011011100000
3200001110110200001020
412200322010123200
5103311100404402
63114021205440
7335221434405
oct64072043340
920043420036
106994544352
112a6a268774
121432560880
13876145953
144a4d3a2ac
152ae0dc8bc
hex1a0e846e0

6994544352 has 96 divisors (see below), whose sum is σ = 19190545920. Its totient is φ = 2226470400.

The previous prime is 6994544317. The next prime is 6994544369. The reversal of 6994544352 is 2534454996.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6994544295 and 6994544304.

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 15 ways as a sum of consecutive naturals, for example, 1545549 + ... + 1550067.

It is an arithmetic number, because the mean of its divisors is an integer number (199901520).

Almost surely, 26994544352 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 6994544352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9595272960).

6994544352 is an abundant number, since it is smaller than the sum of its proper divisors (12196001568).

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

6994544352 is a wasteful number, since it uses less digits than its factorization.

6994544352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5248 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The square root of 6994544352 is about 83633.3925654101. The cubic root of 6994544352 is about 1912.4340879331.

The spelling of 6994544352 in words is "six billion, nine hundred ninety-four million, five hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 701 736 1104 1402 2103 2208 2804 4206 4519 5608 8412 9038 11216 13557 16123 16824 18076 22432 27114 32246 33648 36152 48369 54228 64492 67296 72304 96738 103937 108456 128984 144608 193476 207874 216912 257968 311811 386952 415748 433824 515936 623622 773904 831496 1247244 1547808 1662992 2494488 3167819 3325984 4988976 6335638 9503457 9977952 12671276 19006914 25342552 38013828 50685104 72859837 76027656 101370208 145719674 152055312 218579511 291439348 304110624 437159022 582878696 874318044 1165757392 1748636088 2331514784 3497272176 6994544352