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21221534411640 = 23325109353932943
BaseRepresentation
bin1001101001101000001100…
…00001010010101101111000
32210010202111012222001221200
410310310012001102231320
510240143200302133030
6113045012135534200
74320130256141103
oct464640601225570
983122435861850
1021221534411640
116842002a27342
122468a60b2a360
13bac24a126644
145351b076b73a
1526c04a382d60
hex134d06052b78

21221534411640 has 96 divisors (see below), whose sum is σ = 69033089661120. Its totient is φ = 5653898175744.

The previous prime is 21221534411621. The next prime is 21221534411723. The reversal of 21221534411640 is 4611443512212.

21221534411640 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 5 + 3 + 4 + 4 + 1 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21221534411595 and 21221534411604.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 26572992 + ... + 27359951.

It is an arithmetic number, because the mean of its divisors is an integer number (719094683970).

Almost surely, 221221534411640 is an apocalyptic number.

21221534411640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221534411640 is an abundant number, since it is smaller than the sum of its proper divisors (47811555249480).

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

21221534411640 is a wasteful number, since it uses less digits than its factorization.

21221534411640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53934053 (or 53934046 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 21221534411640 its reverse (4611443512212), we get a palindrome (25832977923852).

The spelling of 21221534411640 in words is "twenty-one trillion, two hundred twenty-one billion, five hundred thirty-four million, four hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1093 2186 3279 4372 5465 6558 8744 9837 10930 13116 16395 19674 21860 26232 32790 39348 43720 49185 65580 78696 98370 131160 196740 393480 53932943 107865886 161798829 215731772 269664715 323597658 431463544 485396487 539329430 647195316 808994145 970792974 1078658860 1294390632 1617988290 1941585948 2157317720 2426982435 3235976580 3883171896 4853964870 6471953160 9707929740 19415859480 58948706699 117897413398 176846120097 235794826796 294743533495 353692240194 471589653592 530538360291 589487066990 707384480388 884230600485 1061076720582 1178974133980 1414768960776 1768461200970 2122153441164 2357948267960 2652691801455 3536922401940 4244306882328 5305383602910 7073844803880 10610767205820 21221534411640