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4172212720 = 2451321119013
BaseRepresentation
bin1111100010101110…
…1110100111110000
3101202202202100220001
43320223232213300
532021041301340
61530000555344
7205251136324
oct37053564760
911682670801
104172212720
111851118195
12985322b54
135164c9c30
142b8181984
1519644129a
hexf8aee9f0

4172212720 has 80 divisors (see below), whose sum is σ = 10496640672. Its totient is φ = 1533127680.

The previous prime is 4172212697. The next prime is 4172212721. The reversal of 4172212720 is 272122714.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172212721) 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 15 ways as a sum of consecutive naturals, for example, 209934 + ... + 228946.

Almost surely, 24172212720 is an apocalyptic number.

4172212720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4172212720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248320336).

4172212720 is an abundant number, since it is smaller than the sum of its proper divisors (6324427952).

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

4172212720 is a wasteful number, since it uses less digits than its factorization.

4172212720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19250 (or 19244 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 4172212720 is about 64592.6676953352. The cubic root of 4172212720 is about 1609.8626118892.

The spelling of 4172212720 in words is "four billion, one hundred seventy-two million, two hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 211 260 422 520 844 1040 1055 1688 2110 2743 3376 4220 5486 8440 10972 13715 16880 19013 21944 27430 38026 43888 54860 76052 95065 109720 152104 190130 219440 247169 304208 380260 494338 760520 988676 1235845 1521040 1977352 2471690 3954704 4011743 4943380 8023486 9886760 16046972 19773520 20058715 32093944 40117430 52152659 64187888 80234860 104305318 160469720 208610636 260763295 320939440 417221272 521526590 834442544 1043053180 2086106360 4172212720