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4172120524 = 221113101257281
BaseRepresentation
bin1111100010101101…
…1000000111001100
3101202202120200102101
43320223120013030
532021030324044
61525555004444
7205250303455
oct37053300714
911682520371
104172120524
1118510649a0
12985299724
13516496c90
142b815a12c
15196423cd4
hexf8ad81cc

4172120524 has 96 divisors (see below), whose sum is σ = 8727227712. Its totient is φ = 1720320000.

The previous prime is 4172120521. The next prime is 4172120549. The reversal of 4172120524 is 4250212714.

4172120524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4172120492 and 4172120501.

It is not an unprimeable number, because it can be changed into a prime (4172120521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14847264 + ... + 14847544.

It is an arithmetic number, because the mean of its divisors is an integer number (90908622).

Almost surely, 24172120524 is an apocalyptic number.

4172120524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4172120524 is an abundant number, since it is smaller than the sum of its proper divisors (4555107188).

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

4172120524 is a wasteful number, since it uses less digits than its factorization.

4172120524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 4172120524 is about 64591.9540190572. The cubic root of 4172120524 is about 1609.8507537541.

The spelling of 4172120524 in words is "four billion, one hundred seventy-two million, one hundred twenty thousand, five hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 101 143 202 257 281 286 404 514 562 572 1028 1111 1124 1313 2222 2626 2827 3091 3341 3653 4444 5252 5654 6182 6682 7306 11308 12364 13364 14443 14612 25957 28381 28886 36751 40183 51914 56762 57772 72217 73502 80366 103828 113524 144434 147004 160732 285527 288868 312191 337441 368953 571054 624382 674882 737906 794387 938821 1142108 1248764 1349764 1475812 1588774 1877642 3177548 3711851 3755284 4058483 7293917 7423702 8116966 10327031 14587834 14847404 16233932 20654062 29175668 41308124 80233087 94820921 160466174 189641842 320932348 379283684 1043030131 2086060262 4172120524