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7420640512 = 28234159521
BaseRepresentation
bin1101110100100110…
…11111110100000000
3201011011020121002111
412322103133310000
5110144140444022
63224202025104
7351614255305
oct67223376400
921134217074
107420640512
11316883805a
1215311a8194
139134c335c
145057750ac
152d6708477
hex1ba4dfd00

7420640512 has 144 divisors (see below), whose sum is σ = 16132556160. Its totient is φ = 3397222400.

The previous prime is 7420640509. The next prime is 7420640527. The reversal of 7420640512 is 2150460247.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14242812 + ... + 14243332.

It is an arithmetic number, because the mean of its divisors is an integer number (112031640).

Almost surely, 27420640512 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 7420640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066278080).

7420640512 is an abundant number, since it is smaller than the sum of its proper divisors (8711915648).

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

7420640512 is a wasteful number, since it uses less digits than its factorization.

7420640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 7420640512 is about 86143.1396688094. The cubic root of 7420640512 is about 1950.5052832173.

The spelling of 7420640512 in words is "seven billion, four hundred twenty million, six hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 41 46 59 64 82 92 118 128 164 184 236 256 328 368 472 521 656 736 943 944 1042 1312 1357 1472 1886 1888 2084 2419 2624 2714 2944 3772 3776 4168 4838 5248 5428 5888 7544 7552 8336 9676 10496 10856 11983 15088 15104 16672 19352 21361 21712 23966 30176 30739 33344 38704 42722 43424 47932 55637 60352 61478 66688 77408 85444 86848 95864 111274 120704 122956 133376 154816 170888 173696 191728 222548 241408 245912 309632 341776 347392 383456 445096 491303 491824 619264 683552 706997 766912 890192 982606 983648 1260299 1367104 1413994 1533824 1780384 1965212 1967296 2520598 2734208 2827988 3067648 3560768 3930424 3934592 5041196 5468416 5655976 7121536 7860848 7869184 10082392 11311952 14243072 15721696 20164784 22623904 28986877 31443392 40329568 45247808 57973754 62886784 80659136 90495616 115947508 125773568 161318272 180991232 231895016 322636544 463790032 927580064 1855160128 3710320256 7420640512