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4375869201 = 321131103109127
BaseRepresentation
bin1000001001101001…
…00111011100010001
3102021221222012001200
410010310213130101
532430210303301
62002114021413
7213303163104
oct40464473421
912257865050
104375869201
111946078330
12a21577869
13549764622
142d723673b
151a926dc86
hex104d27711

4375869201 has 96 divisors (see below), whose sum is σ = 7309885440. Its totient is φ = 2498428800.

The previous prime is 4375869193. The next prime is 4375869257. The reversal of 4375869201 is 1029685734.

4375869201 is a `hidden beast` number, since 43 + 7 + 586 + 9 + 20 + 1 = 666.

4375869201 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4375869201 - 23 = 4375869193 is a prime.

4375869201 is strictly pandigital in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4375862201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34455600 + ... + 34455726.

It is an arithmetic number, because the mean of its divisors is an integer number (76144640).

It is a 1-persistent number, because it is pandigital, but 2⋅4375869201 = 8751738402 is not.

Almost surely, 24375869201 is an apocalyptic number.

It is an amenable number.

4375869201 is a deficient number, since it is larger than the sum of its proper divisors (2934016239).

4375869201 is a wasteful number, since it uses less digits than its factorization.

4375869201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4375869201 is about 66150.3529922555. The cubic root of 4375869201 is about 1635.6414608405.

The spelling of 4375869201 in words is "four billion, three hundred seventy-five million, eight hundred sixty-nine thousand, two hundred one".

Divisors: 1 3 9 11 31 33 93 99 103 109 127 279 309 327 341 381 927 981 1023 1133 1143 1199 1397 3069 3193 3379 3399 3597 3937 4191 9579 10137 10197 10791 11227 11811 12573 13081 13843 28737 30411 33681 35123 35433 37169 39243 41529 43307 101043 105369 111507 117729 123497 124587 129921 143891 152273 316107 334521 348037 370491 389763 405511 429133 431673 456819 1044111 1111473 1216533 1287399 1295019 1370457 1425829 3132333 3649599 3828407 3862197 4277487 4460621 4720463 11485221 12832461 13381863 14161389 15684119 34455663 40145589 42484167 44200699 47052357 132602097 141157071 397806291 486207689 1458623067 4375869201