Search a number
-
+
21465348345 = 3257233318951
BaseRepresentation
bin10011111111011011…
…110011100011111001
32001101221211200021200
4103333123303203321
5322430112121340
613505552524413
71356634310340
oct237733634371
961357750250
1021465348345
1191156a1a11
1241b0850709
13204115686c
141078b68b57
1585971d330
hex4ff6f38f9

21465348345 has 96 divisors (see below), whose sum is σ = 44509630464. Its totient is φ = 9356688000.

The previous prime is 21465348343. The next prime is 21465348353. The reversal of 21465348345 is 54384356412.

21465348345 is a `hidden beast` number, since 214 + 6 + 53 + 48 + 345 = 666.

It is not a de Polignac number, because 21465348345 - 21 = 21465348343 is a prime.

It is a super-2 number, since 2×214653483452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 21465348345.

It is not an unprimeable number, because it can be changed into a prime (21465348341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2393620 + ... + 2402570.

It is an arithmetic number, because the mean of its divisors is an integer number (463641984).

Almost surely, 221465348345 is an apocalyptic number.

It is an amenable number.

21465348345 is an abundant number, since it is smaller than the sum of its proper divisors (23044282119).

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

21465348345 is a wasteful number, since it uses less digits than its factorization.

21465348345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9323 (or 9320 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 21465348345 in words is "twenty-one billion, four hundred sixty-five million, three hundred forty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 331 345 483 805 993 1035 1449 1655 2317 2415 2979 4965 6951 7245 7613 8951 11585 14895 20853 22839 26853 34755 38065 44755 53291 62657 68517 80559 104265 114195 134265 159873 187971 205873 266455 313285 342585 402795 479619 563913 617619 799365 939855 1029365 1441111 1852857 2398095 2819565 2962781 3088095 4323333 7205555 8888343 9264285 12969999 14813905 20739467 21616665 26665029 44441715 62218401 64849995 68143963 103697335 133325145 186655203 204431889 311092005 340719815 477007741 613295667 933276015 1022159445 1431023223 2385038705 3066478335 4293069669 7155116115 21465348345