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14977739664 = 2432472279749
BaseRepresentation
bin11011111001011111…
…00010101110010000
31102122211021000020200
431330233202232100
5221133300132124
610514120535200
71040106454326
oct157457425620
942584230220
1014977739664
1163965a8548
122aa0021500
131549053b64
14a212abd16
155c9db8bc9
hex37cbe2b90

14977739664 has 120 divisors (see below), whose sum is σ = 43001712000. Its totient is φ = 4864329984.

The previous prime is 14977739663. The next prime is 14977739669. The reversal of 14977739664 is 46693777941.

It is not an unprimeable number, because it can be changed into a prime (14977739663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531462 + ... + 1541210.

It is an arithmetic number, because the mean of its divisors is an integer number (358347600).

Almost surely, 214977739664 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 14977739664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21500856000).

14977739664 is an abundant number, since it is smaller than the sum of its proper divisors (28023972336).

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

14977739664 is a wasteful number, since it uses less digits than its factorization.

14977739664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10037 (or 10028 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The spelling of 14977739664 in words is "fourteen billion, nine hundred seventy-seven million, seven hundred thirty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 227 282 376 423 454 564 681 752 846 908 1128 1362 1692 1816 2043 2256 2724 3384 3632 4086 5448 6768 8172 9749 10669 10896 16344 19498 21338 29247 32007 32688 38996 42676 58494 64014 77992 85352 87741 96021 116988 128028 155984 170704 175482 192042 233976 256056 350964 384084 458203 467952 512112 701928 768168 916406 1374609 1403856 1536336 1832812 2213023 2749218 3665624 4123827 4426046 5498436 6639069 7331248 8247654 8852092 10996872 13278138 16495308 17704184 19917207 21993744 26556276 32990616 35408368 39834414 53112552 65981232 79668828 104012081 106225104 159337656 208024162 312036243 318675312 416048324 624072486 832096648 936108729 1248144972 1664193296 1872217458 2496289944 3744434916 4992579888 7488869832 14977739664