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7621890048 = 2123422973
BaseRepresentation
bin1110001100100110…
…01101000000000000
3201200011221010120000
413012103031000000
5111102200440143
63300151320000
7356606665533
oct70623150000
921604833500
107621890048
1132613a3893
121588680000
139460c7316
145243a0a1a
152e920cbd3
hex1c64cd000

7621890048 has 130 divisors (see below), whose sum is σ = 22769784114. Its totient is φ = 2540519424.

The previous prime is 7621890013. The next prime is 7621890097. The reversal of 7621890048 is 8400981267.

It can be written as a sum of positive squares in only one way, i.e., 6689931264 + 931958784 = 81792^2 + 30528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7621889985 and 7621890012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 320290 + ... + 343262.

Almost surely, 27621890048 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 7621890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11384892057).

7621890048 is an abundant number, since it is smaller than the sum of its proper divisors (15147894066).

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

7621890048 is an equidigital number, since it uses as much as digits as its factorization.

7621890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23009 (or 22978 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7621890048 is about 87303.4366333880. The cubic root of 7621890048 is about 1967.9809635279.

The spelling of 7621890048 in words is "seven billion, six hundred twenty-one million, eight hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 9216 10368 12288 13824 18432 20736 22973 27648 36864 41472 45946 55296 68919 82944 91892 110592 137838 165888 183784 206757 275676 331776 367568 413514 551352 620271 735136 827028 1102704 1240542 1470272 1654056 1860813 2205408 2481084 2940544 3308112 3721626 4410816 4962168 5881088 6616224 7443252 8821632 9924336 11762176 13232448 14886504 17643264 19848672 23524352 26464896 29773008 35286528 39697344 47048704 52929792 59546016 70573056 79394688 94097408 105859584 119092032 141146112 158789376 211719168 238184064 282292224 317578752 423438336 476368128 635157504 846876672 952736256 1270315008 1905472512 2540630016 3810945024 7621890048