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5047757568 = 28337104327
BaseRepresentation
bin1001011001101111…
…01010101100000000
3111000210020122122000
410230313222230000
540314211220233
62152514544000
7236042142240
oct45467525400
914023218560
105047757568
112160366a77
12b8a598000
13625a103c9
1435c573b20
151e823bd13
hex12cdeab00

5047757568 has 144 divisors (see below), whose sum is σ = 17059714560. Its totient is φ = 1442202624.

The previous prime is 5047757563. The next prime is 5047757587. The reversal of 5047757568 is 8657577405.

It is a happy number.

5047757568 is a `hidden beast` number, since 5 + 0 + 4 + 7 + 7 + 575 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5047757563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3780 + ... + 100547.

It is an arithmetic number, because the mean of its divisors is an integer number (118470240).

Almost surely, 25047757568 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 5047757568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8529857280).

5047757568 is an abundant number, since it is smaller than the sum of its proper divisors (12011956992).

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

5047757568 is a wasteful number, since it uses less digits than its factorization.

5047757568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104359 (or 104339 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The square root of 5047757568 is about 71047.5725693707. The cubic root of 5047757568 is about 1715.4029905203.

The spelling of 5047757568 in words is "five billion, forty-seven million, seven hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 104327 208654 312981 417308 625962 730289 834616 938943 1251924 1460578 1669232 1877886 2190867 2503848 2816829 2921156 3338464 3755772 4381734 5007696 5633658 5842312 6572601 6676928 7511544 8763468 10015392 11267316 11684624 13145202 13353856 15023088 17526936 19717803 20030784 22534632 23369248 26290404 26707712 30046176 35053872 39435606 40061568 45069264 46738496 52580808 60092352 70107744 78871212 80123136 90138528 93476992 105161616 120184704 140215488 157742424 180277056 186953984 210323232 240369408 280430976 315484848 360554112 420646464 560861952 630969696 721108224 841292928 1261939392 1682585856 2523878784 5047757568