Search a number
-
+
21675849312 = 2531361284729
BaseRepresentation
bin10100001011111110…
…110011011001100000
32001221121221020022210
4110023332303121200
5323343004134222
613542512402120
71365101451645
oct241376633140
961847836283
1021675849312
1192134a7457
12424b246340
132075949750
141098ac1dcc
1586ce4dd0c
hex50bfb3660

21675849312 has 96 divisors (see below), whose sum is σ = 62280701280. Its totient is φ = 6560133120.

The previous prime is 21675849271. The next prime is 21675849331. The reversal of 21675849312 is 21394857612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66237 + ... + 218492.

It is an arithmetic number, because the mean of its divisors is an integer number (648757305).

Almost surely, 221675849312 is an apocalyptic number.

It is an amenable number.

21675849312 is an abundant number, since it is smaller than the sum of its proper divisors (40604851968).

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

21675849312 is a wasteful number, since it uses less digits than its factorization.

21675849312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284816 (or 284808 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 21675849312 in words is "twenty-one billion, six hundred seventy-five million, eight hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 183 208 244 312 366 416 488 624 732 793 976 1248 1464 1586 1952 2379 2928 3172 4758 5856 6344 9516 12688 19032 25376 38064 76128 284729 569458 854187 1138916 1708374 2277832 3416748 3701477 4555664 6833496 7402954 9111328 11104431 13666992 14805908 17368469 22208862 27333984 29611816 34736938 44417724 52105407 59223632 69473876 88835448 104210814 118447264 138947752 177670896 208421628 225790097 277895504 355341792 416843256 451580194 555791008 677370291 833686512 903160388 1354740582 1667373024 1806320776 2709481164 3612641552 5418962328 7225283104 10837924656 21675849312