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21144411396 = 223465260529
BaseRepresentation
bin10011101100010011…
…100001110100000100
32000120120221101120000
4103230103201310010
5321300432131041
613414050041300
71345656350163
oct235423416404
960516841500
1021144411396
118a70518269
124121279230
131cbc808044
1410482a53da
1583b475bb6
hex4ec4e1d04

21144411396 has 30 divisors (see below), whose sum is σ = 55275668910. Its totient is φ = 7048137024.

The previous prime is 21144411389. The next prime is 21144411401. The reversal of 21144411396 is 69311444112.

21144411396 is a `hidden beast` number, since 2 + 11 + 444 + 113 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14806022400 + 6338388996 = 121680^2 + 79614^2 .

It is a super-2 number, since 2×211444113962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21144411396.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 32629941 + ... + 32630588.

It is an arithmetic number, because the mean of its divisors is an integer number (1842522297).

Almost surely, 221144411396 is an apocalyptic number.

It is an amenable number.

21144411396 is an abundant number, since it is smaller than the sum of its proper divisors (34131257514).

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

21144411396 is a wasteful number, since it uses less digits than its factorization.

21144411396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65260545 (or 65260534 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 21144411396 in words is "twenty-one billion, one hundred forty-four million, four hundred eleven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 65260529 130521058 195781587 261042116 391563174 587344761 783126348 1174689522 1762034283 2349379044 3524068566 5286102849 7048137132 10572205698 21144411396