Search a number
-
+
21210721505436 = 22319317094232653
BaseRepresentation
bin1001101001010100000011…
…00001010101000010011100
32210002201120122120112011010
410310222001201111002130
510240004024201133221
6113040023153455220
74316265311020161
oct464520141250234
983081518515133
1021210721505436
116838464366921
122466943871510
13bab215bb79a8
14534866680068
1526bb15e4dc76
hex134a8185509c

21210721505436 has 96 divisors (see below), whose sum is σ = 53852903372800. Its totient is φ = 6472910050560.

The previous prime is 21210721505399. The next prime is 21210721505437. The reversal of 21210721505436 is 63450512701212.

It is a junction number, because it is equal to n+sod(n) for n = 21210721505394 and 21210721505403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210721505437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2894886 + ... + 7127538.

Almost surely, 221210721505436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210721505436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26926451686400).

21210721505436 is an abundant number, since it is smaller than the sum of its proper divisors (32642181867364).

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

21210721505436 is a wasteful number, since it uses less digits than its factorization.

21210721505436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233419 (or 4233417 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 21210721505436 in words is "twenty-one trillion, two hundred ten billion, seven hundred twenty-one million, five hundred five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 709 1178 1418 1767 2127 2356 2836 3534 4254 7068 8508 13471 21979 26942 40413 43958 53884 65937 80826 87916 131874 161652 263748 417601 835202 1252803 1670404 2505606 4232653 5011212 8465306 12697959 16930612 25395918 50791836 80420407 131212243 160840814 241261221 262424486 321681628 393636729 482522442 524848972 787273458 965044884 1574546916 2493032617 3000950977 4986065234 6001901954 7479097851 9002852931 9972130468 12003803908 14958195702 18005705862 29916391404 36011411724 57018068563 93029480287 114036137126 171054205689 186058960574 228072274252 279088440861 342108411378 372117921148 558176881722 684216822756 1116353763444 1767560125453 3535120250906 5302680376359 7070240501812 10605360752718 21210721505436