Search a number
-
+
6642626440 = 2352812932017
BaseRepresentation
bin1100010111110111…
…00110111110001000
3122010221021101102111
412023323212332020
5102101003021230
63015050312104
7323416251562
oct61373467610
918127241374
106642626440
1128a965361a
121354728634
1381b26a7b8
144702d0332
1528d27592a
hex18bee6f88

6642626440 has 64 divisors (see below), whose sum is σ = 15057750960. Its totient is φ = 2637250560.

The previous prime is 6642626399. The next prime is 6642626467. The reversal of 6642626440 is 446262466.

It can be written as a sum of positive squares in 8 ways, for example, as 6062491044 + 580135396 = 77862^2 + 24086^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6642626393 and 6642626402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3292312 + ... + 3294328.

Almost surely, 26642626440 is an apocalyptic number.

It is an amenable number.

6642626440 is an abundant number, since it is smaller than the sum of its proper divisors (8415124520).

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

6642626440 is a wasteful number, since it uses less digits than its factorization.

6642626440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The square root of 6642626440 is about 81502.3094151325. The cubic root of 6642626440 is about 1879.8070610812.

The spelling of 6642626440 in words is "six billion, six hundred forty-two million, six hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 281 293 562 586 1124 1172 1405 1465 2017 2248 2344 2810 2930 4034 5620 5860 8068 10085 11240 11720 16136 20170 40340 80680 82333 164666 329332 411665 566777 590981 658664 823330 1133554 1181962 1646660 2267108 2363924 2833885 2954905 3293320 4534216 4727848 5667770 5909810 11335540 11819620 22671080 23639240 166065661 332131322 664262644 830328305 1328525288 1660656610 3321313220 6642626440