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4470733876921 = 13241239672
BaseRepresentation
bin100000100001110110010…
…0000010010111010111001
3120211101202010112022200021
41001003230200102322321
51041222030333030141
613301454330410441
7640666644641464
oct101035440227271
916741663468607
104470733876921
1114740337a3694
1260255b890a21
13265785922300
141165557902db
157b4626296d1
hex410ec812eb9

4470733876921 has 27 divisors (see below), whose sum is σ = 4963296941613. Its totient is φ = 4025161932480.

The previous prime is 4470733876919. The next prime is 4470733876927. The reversal of 4470733876921 is 1296783370744.

It is a happy number.

The square root of 4470733876921 is 2114411.

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

4470733876921 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2977850666025 + 1492883210896 = 1725645^2 + 1221836^2 .

It is not a de Polignac number, because 4470733876921 - 21 = 4470733876919 is a prime.

It is a super-2 number, since 2×44707338769212 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4470733876921.

It is not an unprimeable number, because it can be changed into a prime (4470733876927) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1126979080 + ... + 1126983046.

Almost surely, 24470733876921 is an apocalyptic number.

4470733876921 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4470733876921 is the 2114411-st square number.

4470733876921 is the 1057206-th centered octagonal number.

It is an amenable number.

4470733876921 is a deficient number, since it is larger than the sum of its proper divisors (492563064692).

4470733876921 is an frugal number, since it uses more digits than its factorization.

4470733876921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 61.

The spelling of 4470733876921 in words is "four trillion, four hundred seventy billion, seven hundred thirty-three million, eight hundred seventy-six thousand, nine hundred twenty-one".

Divisors: 1 13 41 169 533 1681 3967 6929 21853 51571 162647 284089 670423 2114411 6668527 15737089 27487343 86690851 204582157 645220649 1126981063 2659568041 8387868437 26454046609 109042289681 343902605917 4470733876921