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7013378304 = 28335711777
BaseRepresentation
bin1101000100000011…
…11010100100000000
3200002202220112101000
412202001322210000
5103330411101204
63115533012000
7335540506032
oct64201724400
920082815330
107013378304
112a79961a19
121438924000
1387a00b3ba
144a763dc52
152b0aad039
hex1a207a900

7013378304 has 144 divisors (see below), whose sum is σ = 20787807040. Its totient is φ = 2332385280.

The previous prime is 7013378291. The next prime is 7013378327. The reversal of 7013378304 is 4038733107.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 3945864 + ... + 3947640.

Almost surely, 27013378304 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 7013378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393903520).

7013378304 is an abundant number, since it is smaller than the sum of its proper divisors (13774428736).

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

7013378304 is a wasteful number, since it uses less digits than its factorization.

7013378304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7013378304 is about 83745.9151481432. The cubic root of 7013378304 is about 1914.1490631835.

The spelling of 7013378304 in words is "seven billion, thirteen million, three hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 571 576 768 864 1142 1152 1713 1728 1777 2284 2304 3426 3456 3554 4568 5139 5331 6852 6912 7108 9136 10278 10662 13704 14216 15417 15993 18272 20556 21324 27408 28432 30834 31986 36544 41112 42648 47979 54816 56864 61668 63972 73088 82224 85296 95958 109632 113728 123336 127944 146176 164448 170592 191916 219264 227456 246672 255888 328896 341184 383832 438528 454912 493344 511776 657792 682368 767664 986688 1014667 1023552 1315584 1364736 1535328 1973376 2029334 2047104 3044001 3070656 3946752 4058668 4094208 6088002 6141312 8117336 9132003 12176004 12282624 16234672 18264006 24352008 27396009 32469344 36528012 48704016 54792018 64938688 73056024 97408032 109584036 129877376 146112048 194816064 219168072 259754752 292224096 389632128 438336144 584448192 779264256 876672288 1168896384 1753344576 2337792768 3506689152 7013378304