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4674011664 = 2437291074483
BaseRepresentation
bin1000101101001011…
…11100001000010000
3110001201222101122010
410112211330020100
534033021333124
62051444142520
7223553305110
oct42645741020
913051871563
104674011664
111a893a3163
12aa5397a40
13596461a9a
14324a85040
151c5512529
hex11697c210

4674011664 has 160 divisors (see below), whose sum is σ = 14411934720. Its totient is φ = 1277047296.

The previous prime is 4674011653. The next prime is 4674011687. The reversal of 4674011664 is 4661104764.

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 31 ways as a sum of consecutive naturals, for example, 1040367 + ... + 1044849.

It is an arithmetic number, because the mean of its divisors is an integer number (90074592).

Almost surely, 24674011664 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 4674011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205967360).

4674011664 is an abundant number, since it is smaller than the sum of its proper divisors (9737923056).

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

4674011664 is a wasteful number, since it uses less digits than its factorization.

4674011664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4674011664 is about 68366.7438452352. The cubic root of 4674011664 is about 1671.9755820858.

The spelling of 4674011664 in words is "four billion, six hundred seventy-four million, eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 107 112 116 168 174 203 214 232 321 336 348 406 428 464 609 642 696 749 812 856 1218 1284 1392 1498 1624 1712 2247 2436 2568 2996 3103 3248 4483 4494 4872 5136 5992 6206 8966 8988 9309 9744 11984 12412 13449 17932 17976 18618 21721 24824 26898 31381 35864 35952 37236 43442 49648 53796 62762 65163 71728 74472 86884 94143 107592 125524 130007 130326 148944 173768 188286 215184 251048 260014 260652 347536 376572 390021 479681 502096 520028 521304 753144 780042 910049 959362 1040056 1042608 1439043 1506288 1560084 1820098 1918724 2080112 2730147 2878086 3120168 3357767 3640196 3837448 5460294 5756172 6240336 6715534 7280392 7674896 10073301 10920588 11512344 13431068 13910749 14560784 20146602 21841176 23024688 26862136 27821498 40293204 41732247 43682352 53724272 55642996 80586408 83464494 97375243 111285992 161172816 166928988 194750486 222571984 292125729 333857976 389500972 584251458 667715952 779001944 1168502916 1558003888 2337005832 4674011664