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2068149880 = 235234154829
BaseRepresentation
bin111101101000101…
…0111011001111000
312100010120220021201
41323101113121320
513213421244010
6541115343544
7102151661326
oct17321273170
95303526251
102068149880
11971464685
12498751bb4
1326c618a34
14158958d16
15c187523a
hex7b457678

2068149880 has 64 divisors (see below), whose sum is σ = 4974177600. Its totient is φ = 771978240.

The previous prime is 2068149869. The next prime is 2068149899. The reversal of 2068149880 is 889418602.

It is a super-2 number, since 2×20681498802 = 8554487852288028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 2068149880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10306 + ... + 65134.

It is an arithmetic number, because the mean of its divisors is an integer number (77721525).

Almost surely, 22068149880 is an apocalyptic number.

2068149880 is a gapful number since it is divisible by the number (20) 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 2068149880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487088800).

2068149880 is an abundant number, since it is smaller than the sum of its proper divisors (2906027720).

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

2068149880 is a wasteful number, since it uses less digits than its factorization.

2068149880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54904 (or 54900 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 2068149880 is about 45476.9159024664. The cubic root of 2068149880 is about 1274.0720927702.

The spelling of 2068149880 in words is "two billion, sixty-eight million, one hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1640 1886 3772 4715 7544 9430 18860 37720 54829 109658 219316 274145 438632 548290 1096580 1261067 2193160 2247989 2522134 4495978 5044268 6305335 8991956 10088536 11239945 12610670 17983912 22479890 25221340 44959780 50442680 51703747 89919560 103407494 206814988 258518735 413629976 517037470 1034074940 2068149880