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21394473173056 = 26532109092
BaseRepresentation
bin1001101110101010010011…
…11110010100000001000000
32210202021212121202101212101
410313111021332110001000
510301011340113014211
6113300252453440144
74335461663305564
oct467251176240100
983667777671771
1021394473173056
1168a9388398455
122496485940054
13bc264ab732b9
1453d6d88296a4
152717bcbc75c1
hex137549f94040

21394473173056 has 63 divisors (see below), whose sum is σ = 43274769664791. Its totient is φ = 10494439847424.

The previous prime is 21394473172939. The next prime is 21394473173057. The reversal of 21394473173056 is 65037137449312.

The square root of 21394473173056 is 4625416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 53916840000 + 21340556333056 = 232200^2 + 4619584^2 .

It is a super-3 number, since 3×213944731730563 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21394473172988 and 21394473173006.

It is not an unprimeable number, because it can be changed into a prime (21394473173057) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1961170930 + ... + 1961181838.

Almost surely, 221394473173056 is an apocalyptic number.

21394473173056 is the 4625416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21394473173056

21394473173056 is an abundant number, since it is smaller than the sum of its proper divisors (21880296491735).

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

21394473173056 is an frugal number, since it uses more digits than its factorization.

21394473173056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21936 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 55.

The spelling of 21394473173056 in words is "twenty-one trillion, three hundred ninety-four billion, four hundred seventy-three million, one hundred seventy-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2809 3392 5618 10909 11236 21818 22472 43636 44944 87272 89888 174544 179776 349088 578177 698176 1156354 2312708 4625416 9250832 18501664 30643381 37003328 61286762 119006281 122573524 238012562 245147048 476025124 490294096 952050248 980588192 1904100496 1961176384 3808200992 6307332893 7616401984 12614665786 25229331572 50458663144 100917326288 201834652576 334288643329 403669305152 668577286658 1337154573316 2674309146632 5348618293264 10697236586528 21394473173056