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21791515540 = 2258344329633
BaseRepresentation
bin10100010010111000…
…000010001110010100
32002020200120200120011
4110102320002032110
5324112111444130
614002203450004
71401004553164
oct242270021624
962220520504
1021791515540
119272819183
124281b26904
1320938b6bc2
1410aa1d05a4
1587819a52a
hex512e02394

21791515540 has 48 divisors (see below), whose sum is σ = 46419645888. Its totient is φ = 8591857664.

The previous prime is 21791515519. The next prime is 21791515541. The reversal of 21791515540 is 4551519712.

It is a super-2 number, since 2×217915155402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21791515493 and 21791515502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21791515541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720564 + ... + 750196.

It is an arithmetic number, because the mean of its divisors is an integer number (967075956).

Almost surely, 221791515540 is an apocalyptic number.

21791515540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21791515540 is an abundant number, since it is smaller than the sum of its proper divisors (24628130348).

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

21791515540 is a wasteful number, since it uses less digits than its factorization.

21791515540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30168 (or 30166 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 40.

The spelling of 21791515540 in words is "twenty-one billion, seven hundred ninety-one million, five hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 83 166 332 415 443 830 886 1660 1772 2215 4430 8860 29633 36769 59266 73538 118532 147076 148165 183845 296330 367690 592660 735380 2459539 4919078 9838156 12297695 13127419 24595390 26254838 49190780 52509676 65637095 131274190 262548380 1089575777 2179151554 4358303108 5447878885 10895757770 21791515540