Search a number
-
+
21647865348 = 22321759797589
BaseRepresentation
bin10100001010010100…
…000011011000000100
32001212200021111112200
4110022110003120010
5323313323142343
613540032514500
71364311551024
oct241224033004
961780244480
1021647865348
1191a972370a
1242419aba30
13206cbcc2a5
1410950b9a84
1586a7724d3
hex50a503604

21647865348 has 144 divisors (see below), whose sum is σ = 59675616000. Its totient is φ = 6590997504.

The previous prime is 21647865341. The next prime is 21647865361. The reversal of 21647865348 is 84356874612.

It is a happy number.

21647865348 is a `hidden beast` number, since 21 + 6 + 4 + 7 + 86 + 534 + 8 = 666.

It is a super-2 number, since 2×216478653482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21647865294 and 21647865303.

It is not an unprimeable number, because it can be changed into a prime (21647865341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2848738 + ... + 2856326.

It is an arithmetic number, because the mean of its divisors is an integer number (414414000).

Almost surely, 221647865348 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 21647865348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29837808000).

21647865348 is an abundant number, since it is smaller than the sum of its proper divisors (38027750652).

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

21647865348 is a wasteful number, since it uses less digits than its factorization.

21647865348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7749 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 21647865348 in words is "twenty-one billion, six hundred forty-seven million, eight hundred sixty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 79 102 118 153 158 177 204 236 237 306 316 354 474 531 612 708 711 948 1003 1062 1343 1422 2006 2124 2686 2844 3009 4012 4029 4661 5372 6018 7589 8058 9027 9322 12036 12087 13983 15178 16116 18054 18644 22767 24174 27966 30356 36108 41949 45534 48348 55932 68301 79237 83898 91068 129013 136602 158474 167796 237711 258026 273204 316948 387039 447751 475422 516052 599531 713133 774078 895502 950844 1161117 1199062 1343253 1426266 1548156 1791004 1798593 2322234 2398124 2686506 2852532 3597186 4029759 4644468 5373012 5395779 7194372 7611767 8059518 10192027 10791558 15223534 16119036 20384054 21583116 22835301 30447068 30576081 35372329 40768108 45670602 61152162 68505903 70744658 91341204 91728243 106116987 122304324 137011806 141489316 183456486 212233974 274023612 318350961 366912972 424467948 601329593 636701922 1202659186 1273403844 1803988779 2405318372 3607977558 5411966337 7215955116 10823932674 21647865348