Search a number
-
+
21260563523461 = 172237941539749
BaseRepresentation
bin1001101010110000111000…
…10101100010011110000101
32210021111020020010101020201
410311120130111202132011
510241313113230222321
6113114545033130501
74323011404130113
oct465303425423605
983244206111221
1021260563523461
116857610935759
122474533859a31
13bb2b29cc2652
14537034008ab3
1526d0819d9291
hex13561c562785

21260563523461 has 48 divisors (see below), whose sum is σ = 23873204160000. Its totient is φ = 18891178555392.

The previous prime is 21260563523449. The next prime is 21260563523513. The reversal of 21260563523461 is 16432536506212.

It is not a de Polignac number, because 21260563523461 - 25 = 21260563523429 is a prime.

It is a super-2 number, since 2×212605635234612 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21260563523401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2180789415 + ... + 2180799163.

It is an arithmetic number, because the mean of its divisors is an integer number (497358420000).

Almost surely, 221260563523461 is an apocalyptic number.

It is an amenable number.

21260563523461 is a deficient number, since it is larger than the sum of its proper divisors (2612640636539).

21260563523461 is a wasteful number, since it uses less digits than its factorization.

21260563523461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14038 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 21260563523461 in words is "twenty-one trillion, two hundred sixty billion, five hundred sixty-three million, five hundred twenty-three thousand, four hundred sixty-one".

Divisors: 1 17 23 79 289 391 1343 1817 4153 6647 9749 22831 30889 70601 95519 165733 224227 328087 525113 770171 1200217 1623823 2817461 3811859 5577479 7546001 13092907 17713933 27604991 40487597 64801603 94817143 128282017 222579419 301136861 688289149 931214731 2180794289 3198520163 5119326637 11700915533 15830650427 54374842771 73565963749 269121057259 924372327107 1250621383733 21260563523461