Search a number
-
+
7002948096 = 29331134483
BaseRepresentation
bin1101000010110100…
…01000001000000000
3200002001021121211000
412201122020020000
5103320223314341
63114521252000
7335353035204
oct64132101000
920061247730
107002948096
112a73a88611
121435334000
13877ac8a91
144a60c6b04
152aebec8b6
hex1a1688200

7002948096 has 160 divisors (see below), whose sum is σ = 20917321920. Its totient is φ = 2313142272.

The previous prime is 7002948059. The next prime is 7002948157. The reversal of 7002948096 is 6908492007.

It is a happy 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, 1559871 + ... + 1564353.

It is an arithmetic number, because the mean of its divisors is an integer number (130733262).

Almost surely, 27002948096 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 7002948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458660960).

7002948096 is an abundant number, since it is smaller than the sum of its proper divisors (13914373824).

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

7002948096 is a wasteful number, since it uses less digits than its factorization.

7002948096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7002948096 is about 83683.6190421997. The cubic root of 7002948096 is about 1913.1996929271.

The spelling of 7002948096 in words is "seven billion, two million, nine hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 192 216 226 256 288 339 384 432 452 512 576 678 768 864 904 1017 1152 1356 1536 1728 1808 2034 2304 2712 3051 3456 3616 4068 4483 4608 5424 6102 6912 7232 8136 8966 10848 12204 13449 13824 14464 16272 17932 21696 24408 26898 28928 32544 35864 40347 43392 48816 53796 57856 65088 71728 80694 86784 97632 107592 121041 130176 143456 161388 173568 195264 215184 242082 260352 286912 322776 390528 430368 484164 506579 520704 573824 645552 781056 860736 968328 1013158 1147648 1291104 1519737 1562112 1721472 1936656 2026316 2295296 2582208 3039474 3442944 3873312 4052632 4559211 5164416 6078948 6885888 7746624 8105264 9118422 10328832 12157896 13677633 15493248 16210528 18236844 20657664 24315792 27355266 30986496 32421056 36473688 48631584 54710532 61972992 64842112 72947376 97263168 109421064 129684224 145894752 194526336 218842128 259368448 291789504 389052672 437684256 583579008 778105344 875368512 1167158016 1750737024 2334316032 3501474048 7002948096