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5344773264 = 24321910718257
BaseRepresentation
bin1001111101001001…
…01100010010010000
3111210111010121120100
410332210230102100
541421230221024
62242205012400
7246306552225
oct47644542220
914714117510
105344773264
1122a2a92296
121051b54100
13672404a3c
14389bab94c
1521435b7c9
hex13e92c490

5344773264 has 120 divisors (see below), whose sum is σ = 15893223840. Its totient is φ = 1671957504.

The previous prime is 5344773263. The next prime is 5344773277. The reversal of 5344773264 is 4623774435.

5344773264 is a `hidden beast` number, since 534 + 47 + 73 + 2 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5344773263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283624 + ... + 301880.

It is an arithmetic number, because the mean of its divisors is an integer number (132443532).

Almost surely, 25344773264 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 5344773264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946611920).

5344773264 is an abundant number, since it is smaller than the sum of its proper divisors (10548450576).

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

5344773264 is a wasteful number, since it uses less digits than its factorization.

5344773264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18397 (or 18388 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 45.

The square root of 5344773264 is about 73107.9562291273. The cubic root of 5344773264 is about 1748.4092498475.

The spelling of 5344773264 in words is "five billion, three hundred forty-four million, seven hundred seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 107 114 144 152 171 214 228 304 321 342 428 456 642 684 856 912 963 1284 1368 1712 1926 2033 2568 2736 3852 4066 5136 6099 7704 8132 12198 15408 16264 18257 18297 24396 32528 36514 36594 48792 54771 73028 73188 97584 109542 146056 146376 164313 219084 292112 292752 328626 346883 438168 657252 693766 876336 1040649 1314504 1387532 1953499 2081298 2629008 2775064 3121947 3906998 4162596 5550128 5860497 6243894 7813996 8325192 11720994 12487788 15627992 16650384 17581491 23441988 24975576 31255984 35162982 37116481 46883976 49951152 70325964 74232962 93767952 111349443 140651928 148465924 222698886 281303856 296931848 334048329 445397772 593863696 668096658 890795544 1336193316 1781591088 2672386632 5344773264