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5201645652 = 22327179291307
BaseRepresentation
bin1001101100000101…
…01101000001010100
3111102111210222101200
410312002231001110
541123110130102
62220053152500
7242621154450
oct46602550124
914374728350
105201645652
11222a214405
12101202b730
1364b870c48
14374b91660
152069d851c
hex1360ad054

5201645652 has 144 divisors (see below), whose sum is σ = 15940229760. Its totient is φ = 1396187136.

The previous prime is 5201645633. The next prime is 5201645723. The reversal of 5201645652 is 2565461025.

5201645652 is a `hidden beast` number, since 5 + 2 + 0 + 1 + 645 + 6 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3979183 + ... + 3980489.

It is an arithmetic number, because the mean of its divisors is an integer number (110696040).

Almost surely, 25201645652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5201645652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970114880).

5201645652 is an abundant number, since it is smaller than the sum of its proper divisors (10738584108).

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

5201645652 is a wasteful number, since it uses less digits than its factorization.

5201645652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5201645652 is about 72122.4351502360. The cubic root of 5201645652 is about 1732.6609514206.

The spelling of 5201645652 in words is "five billion, two hundred one million, six hundred forty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 929 1071 1307 1428 1858 2142 2614 2787 3716 3921 4284 5228 5574 6503 7842 8361 9149 11148 11763 13006 15684 15793 16722 18298 19509 22219 23526 26012 27447 31586 33444 36596 39018 44438 47052 47379 54894 58527 63172 66657 78036 82341 88876 94758 109788 110551 117054 133314 142137 155533 164682 189516 199971 221102 234108 266628 284274 311066 329364 331653 399942 442204 466599 568548 622132 663306 799884 933198 994959 1214203 1326612 1399797 1866396 1989918 2428406 2799594 3642609 3979836 4856812 5599188 7285218 8499421 10927827 14570436 16998842 20641451 21855654 25498263 33997684 41282902 43711308 50996526 61924353 76494789 82565804 101993052 123848706 144490157 152989578 185773059 247697412 288980314 305979156 371546118 433470471 577960628 743092236 866940942 1300411413 1733881884 2600822826 5201645652