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4975564896 = 2532174332347
BaseRepresentation
bin1001010001001000…
…10001100001100000
3110211202101212220100
410220210101201200
540142221034041
62141415342400
7234204414051
oct45044214140
913752355810
104975564896
112123638605
12b6a381a00
13613a84853
14352b40728
151e1c2b6b6
hex128911860

4975564896 has 144 divisors (see below), whose sum is σ = 15022569744. Its totient is φ = 1556692992.

The previous prime is 4975564843. The next prime is 4975564933. The reversal of 4975564896 is 6984655794.

4975564896 is a `hidden beast` number, since 497 + 5 + 5 + 64 + 89 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2118795 + ... + 2121141.

It is an arithmetic number, because the mean of its divisors is an integer number (104323401).

Almost surely, 24975564896 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 4975564896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511284872).

4975564896 is an abundant number, since it is smaller than the sum of its proper divisors (10047004848).

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

4975564896 is a wasteful number, since it uses less digits than its factorization.

4975564896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2802 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 4975564896 is about 70537.6842262347. The cubic root of 4975564896 is about 1707.1858339426.

The spelling of 4975564896 in words is "four billion, nine hundred seventy-five million, five hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 433 544 612 816 866 1224 1299 1632 1732 2347 2448 2598 3464 3897 4694 4896 5196 6928 7041 7361 7794 9388 10392 13856 14082 14722 15588 18776 20784 21123 22083 28164 29444 31176 37552 39899 41568 42246 44166 56328 58888 62352 66249 75104 79798 84492 88332 112656 117776 119697 124704 132498 159596 168984 176664 225312 235552 239394 264996 319192 337968 353328 359091 478788 529992 638384 675936 706656 718182 957576 1016251 1059984 1276768 1436364 1915152 2032502 2119968 2872728 3048753 3830304 4065004 5745456 6097506 8130008 9146259 11490912 12195012 16260016 17276267 18292518 24390024 32520032 34552534 36585036 48780048 51828801 69105068 73170072 97560096 103657602 138210136 146340144 155486403 207315204 276420272 292680288 310972806 414630408 552840544 621945612 829260816 1243891224 1658521632 2487782448 4975564896