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210152020716 = 2232112918299549
BaseRepresentation
bin1100001110111000001…
…0010101101011101100
3202002102212002202211200
43003232002111223230
511420342404130331
6240313103045500
721116522463021
oct3035602255354
9662385082750
10210152020716
1181141378670
123488b5a0890
1316a81665221
14a2584d7548
1556ee8605e6
hex30ee095aec

210152020716 has 72 divisors (see below), whose sum is σ = 599493258000. Its totient is φ = 61486481280.

The previous prime is 210152020693. The next prime is 210152020781. The reversal of 210152020716 is 617020251012.

210152020716 is a `hidden beast` number, since 2 + 101 + 520 + 20 + 7 + 16 = 666.

210152020716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2101520207162 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210152020716.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9138291 + ... + 9161258.

It is an arithmetic number, because the mean of its divisors is an integer number (8326295250).

Almost surely, 2210152020716 is an apocalyptic number.

It is an amenable number.

210152020716 is an abundant number, since it is smaller than the sum of its proper divisors (389341237284).

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

210152020716 is a wasteful number, since it uses less digits than its factorization.

210152020716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18299599 (or 18299594 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 210152020716 its reverse (617020251012), we get a palindrome (827172271728).

The spelling of 210152020716 in words is "two hundred ten billion, one hundred fifty-two million, twenty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 18299549 36599098 54898647 73198196 109797294 164695941 201295039 219594588 329391882 402590078 530686921 603885117 658783764 805180156 1061373842 1207770234 1592060763 1811655351 2122747684 2415540468 3184121526 3623310702 4776182289 5837556131 6368243052 7246621404 9552364578 11675112262 17512668393 19104729156 23350224524 35025336786 52538005179 70050673572 105076010358 210152020716