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4957323264 = 2143233619
BaseRepresentation
bin1001001110111101…
…01100000000000000
3110210111002010002100
410213132230000000
540123033321024
62135524350400
7233563360335
oct44736540000
913714063070
104957323264
112114309383
12b64245400
1361006889a
1435055298c
151e03267c9
hex1277ac000

4957323264 has 90 divisors (see below), whose sum is σ = 14321145020. Its totient is φ = 1652391936.

The previous prime is 4957323257. The next prime is 4957323281. The reversal of 4957323264 is 4623237594.

4957323264 is a `hidden beast` number, since 49 + 573 + 2 + 32 + 6 + 4 = 666.

It is a super-2 number, since 2×49573232642 = 49150107887591227392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130647 + ... + 164265.

Almost surely, 24957323264 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 4957323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160572510).

4957323264 is an abundant number, since it is smaller than the sum of its proper divisors (9363821756).

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

4957323264 is an equidigital number, since it uses as much as digits as its factorization.

4957323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33653 (or 33624 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 4957323264 is about 70408.2613334543. The cubic root of 4957323264 is about 1705.0969594817.

The spelling of 4957323264 in words is "four billion, nine hundred fifty-seven million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 33619 36864 49152 67238 73728 100857 134476 147456 201714 268952 302571 403428 537904 605142 806856 1075808 1210284 1613712 2151616 2420568 3227424 4303232 4841136 6454848 8606464 9682272 12909696 17212928 19364544 25819392 34425856 38729088 51638784 68851712 77458176 103277568 137703424 154916352 206555136 275406848 309832704 413110272 550813696 619665408 826220544 1239330816 1652441088 2478661632 4957323264