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4662110656 = 26741534789
BaseRepresentation
bin1000101011110001…
…00010100111000000
3110000220120202112001
410111320202213000
534022000020111
62050341113344
7223350200230
oct42570424700
913026522461
104662110656
111a82704815
12aa13b8854
13593b55b78
14323267cc0
151c44611c1
hex115e229c0

4662110656 has 112 divisors (see below), whose sum is σ = 11037539520. Its totient is φ = 1912135680.

The previous prime is 4662110641. The next prime is 4662110699. The reversal of 4662110656 is 6560112664.

It is a tau number, because it is divible by the number of its divisors (112).

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, 971110 + ... + 975898.

It is an arithmetic number, because the mean of its divisors is an integer number (98549460).

Almost surely, 24662110656 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 4662110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518769760).

4662110656 is an abundant number, since it is smaller than the sum of its proper divisors (6375428864).

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

4662110656 is a wasteful number, since it uses less digits than its factorization.

4662110656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 4662110656 is about 68279.6503798899. The cubic root of 4662110656 is about 1670.5553098474. Note that the first 3 decimals are identical.

The spelling of 4662110656 in words is "four billion, six hundred sixty-two million, one hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 53 56 64 82 106 112 164 212 224 287 328 371 424 448 574 656 742 848 1148 1312 1484 1696 2173 2296 2624 2968 3392 4346 4592 4789 5936 8692 9184 9578 11872 15211 17384 18368 19156 23744 30422 33523 34768 38312 60844 67046 69536 76624 121688 134092 139072 153248 196349 243376 253817 268184 306496 392698 486752 507634 536368 785396 973504 1015268 1072736 1374443 1570792 1776719 2030536 2145472 2748886 3141584 3553438 4061072 5497772 6283168 7106876 8122144 10406497 10995544 12566336 14213752 16244288 20812994 21991088 28427504 41625988 43982176 56855008 72845479 83251976 87964352 113710016 145690958 166503952 291381916 333007904 582763832 666015808 1165527664 2331055328 4662110656