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76388507064 = 23321778677933
BaseRepresentation
bin100011100100100011…
…1000001110110111000
321022011122110020001100
41013021013001312320
52222420424211224
655031542451400
75342656411452
oct1071107016670
9238148406040
1076388507064
112a43a358a81
121297a433b60
137284b5c74c
1439a92772d2
151ec13dbac9
hex11c91c1db8

76388507064 has 96 divisors (see below), whose sum is σ = 219110739120. Its totient is φ = 23958955008.

The previous prime is 76388507053. The next prime is 76388507071. The reversal of 76388507064 is 46070588367.

76388507064 is a `hidden beast` number, since 76 + 3 + 8 + 8 + 507 + 0 + 64 = 666.

It is a super-3 number, since 3×763885070643 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 76388507064.

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 23 ways as a sum of consecutive naturals, for example, 9625242 + ... + 9633174.

Almost surely, 276388507064 is an apocalyptic number.

It is an amenable number.

76388507064 is an abundant number, since it is smaller than the sum of its proper divisors (142722232056).

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

76388507064 is a wasteful number, since it uses less digits than its factorization.

76388507064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15829 (or 15822 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 76388507064 in words is "seventy-six billion, three hundred eighty-eight million, five hundred seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 7867 7933 15734 15866 23601 23799 31468 31732 47202 47598 62936 63464 70803 71397 94404 95196 133739 134861 141606 142794 188808 190392 267478 269722 283212 285588 401217 404583 534956 539444 566424 571176 802434 809166 1069912 1078888 1203651 1213749 1604868 1618332 2407302 2427498 3209736 3236664 4814604 4854996 9629208 9709992 62408911 124817822 187226733 249635644 374453466 499271288 561680199 748906932 1060951487 1123360398 1497813864 2121902974 2246720796 3182854461 4243805948 4493441592 6365708922 8487611896 9548563383 12731417844 19097126766 25462835688 38194253532 76388507064