Search a number
-
+
65246489064 = 23335942112161
BaseRepresentation
bin111100110000111111…
…100110100111101000
320020102010210001202000
4330300333212213220
52032111100122224
645550202411000
74466604002121
oct746077464750
9206363701660
1065246489064
1125741a3aa39
121078ab00a60
1361ca69c3a3
14322d599048
151a6d1480c9
hexf30fe69e8

65246489064 has 128 divisors (see below), whose sum is σ = 184765104000. Its totient is φ = 21327667200.

The previous prime is 65246489029. The next prime is 65246489071. The reversal of 65246489064 is 46098464256.

65246489064 is a `hidden beast` number, since 65 + 2 + 46 + 489 + 0 + 64 = 666.

It is a super-3 number, since 3×652464890643 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 65246489064.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5359144 + ... + 5371304.

It is an arithmetic number, because the mean of its divisors is an integer number (1443477375).

Almost surely, 265246489064 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 65246489064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92382552000).

65246489064 is an abundant number, since it is smaller than the sum of its proper divisors (119518614936).

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

65246489064 is a wasteful number, since it uses less digits than its factorization.

65246489064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12656 (or 12646 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 65246489064 in words is "sixty-five billion, two hundred forty-six million, four hundred eighty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 421 472 531 708 842 1062 1263 1416 1593 1684 2124 2526 3186 3368 3789 4248 5052 6372 7578 10104 11367 12161 12744 15156 22734 24322 24839 30312 36483 45468 48644 49678 72966 74517 90936 97288 99356 109449 145932 149034 198712 218898 223551 291864 298068 328347 437796 447102 596136 656694 670653 717499 875592 894204 1313388 1341306 1434998 1788408 2152497 2626776 2682612 2869996 4304994 5119781 5365224 5739992 6457491 8609988 10239562 12914982 15359343 17219976 19372473 20479124 25829964 30718686 38744946 40958248 46078029 51659928 61437372 77489892 92156058 122874744 138234087 154979784 184312116 276468174 302067079 368624232 552936348 604134158 906201237 1105872696 1208268316 1812402474 2416536632 2718603711 3624804948 5437207422 7249609896 8155811133 10874414844 16311622266 21748829688 32623244532 65246489064