Search a number
-
+
21425877246618 = 23313193013953299
BaseRepresentation
bin1001101111100100110011…
…10011010110001010011010
32210212021221020001122002000
410313302121303112022122
510302020144033342433
6113322525004021430
74340653132444425
oct467623163261232
983767836048060
1021425877246618
116910733152759
1224a058ab31876
13bc55b40b2050
145410375269bc
15272509bed113
hex137c99cd629a

21425877246618 has 128 divisors (see below), whose sum is σ = 53977123200000. Its totient is φ = 6245275442112.

The previous prime is 21425877246617. The next prime is 21425877246623. The reversal of 21425877246618 is 81664277852412.

21425877246618 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 5 + 8 + 7 + 7 + 2 + 4 + 6 + 618 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21425877246617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401967333 + ... + 402020631.

It is an arithmetic number, because the mean of its divisors is an integer number (421696275000).

Almost surely, 221425877246618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21425877246618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26988561600000).

21425877246618 is an abundant number, since it is smaller than the sum of its proper divisors (32551245953382).

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

21425877246618 is a wasteful number, since it uses less digits than its factorization.

21425877246618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83481 (or 83475 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 21425877246618 in words is "twenty-one trillion, four hundred twenty-five billion, eight hundred seventy-seven million, two hundred forty-six thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338 30139 53299 60278 90417 106598 159897 180834 271251 319794 391807 479691 542502 572641 692887 783614 813753 959382 1012681 1145282 1175421 1385774 1439073 1627506 1717923 2025362 2078661 2350842 2878146 3038043 3435846 3526263 4157322 5153769 6076086 6235983 7052526 7444333 9114129 10307538 10578789 12471966 13164853 14888666 15461307 18228258 18707949 21157578 22332999 26329706 27342387 30922614 37415898 39494559 44665998 54684774 66998997 78989118 118483677 133997994 200996991 236967354 355451031 401993982 710902062 1606378561 3212757122 4819135683 9638271366 14457407049 20882921293 28914814098 30521192659 41765842586 43372221147 61042385318 62648763879 86744442294 91563577977 125297527758 183127155954 187946291637 274690733931 375892583274 396775504567 549381467862 563838874911 793551009134 824072201793 1127677749822 1190326513701 1648144403586 2380653027402 3570979541103 7141959082206 10712938623309 21425877246618