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7164930416 = 247374736787
BaseRepresentation
bin1101010110001000…
…00010100101110000
3200111100002011210012
412223010002211300
5104133210233131
63142545154052
7342360621650
oct65304024560
920440064705
107164930416
1130474642a6
12147b62b928
138a25318c7
144bd810360
152be04752b
hex1ab102970

7164930416 has 80 divisors (see below), whose sum is σ = 16641125376. Its totient is φ = 2924045568.

The previous prime is 7164930403. The next prime is 7164930433. The reversal of 7164930416 is 6140394617.

It is a super-2 number, since 2×71649304162 (a number of 21 digits) contains 22 as substring.

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, 176375 + ... + 213161.

Almost surely, 27164930416 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 7164930416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8320562688).

7164930416 is an abundant number, since it is smaller than the sum of its proper divisors (9476194960).

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

7164930416 is a wasteful number, since it uses less digits than its factorization.

7164930416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36886 (or 36880 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 7164930416 is about 84645.9119863446. The cubic root of 7164930416 is about 1927.8385438391.

The spelling of 7164930416 in words is "seven billion, one hundred sixty-four million, nine hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 37 47 56 74 94 112 148 188 259 296 329 376 518 592 658 752 1036 1316 1739 2072 2632 3478 4144 5264 6956 12173 13912 24346 27824 36787 48692 73574 97384 147148 194768 257509 294296 515018 588592 1030036 1361119 1728989 2060072 2722238 3457978 4120144 5444476 6915956 9527833 10888952 12102923 13831912 19055666 21777904 24205846 27663824 38111332 48411692 63972593 76222664 96823384 127945186 152445328 193646768 255890372 447808151 511780744 895616302 1023561488 1791232604 3582465208 7164930416