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210252519148 = 227172337351487
BaseRepresentation
bin1100001111010000000…
…1101101011011101100
3202002200212012121202211
43003310001231123230
511421044121103043
6240331053100204
721122152632250
oct3036401553354
9662625177684
10210252519148
118119307a621
12348b9187664
1316a99421859
14a2679b8260
1557085b2a9d
hex30f406d6ec

210252519148 has 96 divisors (see below), whose sum is σ = 465853538304. Its totient is φ = 80901393408.

The previous prime is 210252519107. The next prime is 210252519161. The reversal of 210252519148 is 841915252012.

It is a happy number.

210252519148 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 2×2102525191482 (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 210252519148.

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 31 ways as a sum of consecutive naturals, for example, 4057861 + ... + 4109347.

It is an arithmetic number, because the mean of its divisors is an integer number (4852641024).

Almost surely, 2210252519148 is an apocalyptic number.

210252519148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210252519148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232926769152).

210252519148 is an abundant number, since it is smaller than the sum of its proper divisors (255601019156).

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

210252519148 is a wasteful number, since it uses less digits than its factorization.

210252519148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51911 (or 51909 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 210252519148 in words is "two hundred ten billion, two hundred fifty-two million, five hundred nineteen thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 373 391 476 644 746 782 1492 1564 2611 2737 5222 5474 6341 8579 10444 10948 12682 17158 25364 34316 44387 51487 60053 88774 102974 120106 145843 177548 205948 240212 291686 360409 583372 720818 875279 1020901 1184201 1441636 1750558 2041802 2368402 3501116 4083604 4736804 6126953 8289407 12253906 16578814 19204651 20131417 24507812 33157628 38409302 40262834 76818604 80525668 134432557 140919919 268865114 281839838 326479067 441706973 537730228 563679676 652958134 883413946 1305916268 1766827892 2285353469 3091948811 4570706938 6183897622 7509018541 9141413876 12367795244 15018037082 30036074164 52563129787 105126259574 210252519148