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4152126969 = 324724572
BaseRepresentation
bin1111011101111100…
…0110110111111001
3101201100221220102100
43313133012313321
532000421030334
61524002254013
7204615332304
oct36737066771
911640856370
104152126969
1118408494a1
1297a657309
135122b6783
142b5633b3b
151947c4c99
hexf77c6df9

4152126969 has 27 divisors (see below), whose sum is σ = 6141276687. Its totient is φ = 2703261024.

The previous prime is 4152126919. The next prime is 4152126977. The reversal of 4152126969 is 9696212514.

The square root of 4152126969 is 64437.

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

4152126969 is a `hidden beast` number, since 4 + 1 + 521 + 2 + 69 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3591005625 + 561121344 = 59925^2 + 23688^2 .

It is not a de Polignac number, because 4152126969 - 215 = 4152094201 is a prime.

It is a super-3 number, since 3×41521269693 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4152126919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9085389 + ... + 9085845.

Almost surely, 24152126969 is an apocalyptic number.

4152126969 is the 64437-th square number.

4152126969 is the 32219-th centered octagonal number.

It is an amenable number.

4152126969 is a deficient number, since it is larger than the sum of its proper divisors (1989149718).

4152126969 is an frugal number, since it uses more digits than its factorization.

4152126969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 507 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The cubic root of 4152126969 is about 1607.2750698021.

The spelling of 4152126969 in words is "four billion, one hundred fifty-two million, one hundred twenty-six thousand, nine hundred sixty-nine".

Divisors: 1 3 9 47 141 423 457 1371 2209 4113 6627 19881 21479 64437 193311 208849 626547 1009513 1879641 3028539 9085617 9815903 29447709 88343127 461347441 1384042323 4152126969