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2149921872 = 243372330911
BaseRepresentation
bin1000000000100101…
…0011010001010000
312112211110100101000
42000021103101100
513400334444442
6553200142000
7104164014540
oct20011232120
95484410330
102149921872
11a0363613a
12500007900
13283549827
14165763320
15c8b28d4c
hex80253450

2149921872 has 160 divisors (see below), whose sum is σ = 7359528960. Its totient is φ = 587537280.

The previous prime is 2149921853. The next prime is 2149921897. The reversal of 2149921872 is 2781299412.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54097 + ... + 85007.

It is an arithmetic number, because the mean of its divisors is an integer number (45997056).

Almost surely, 22149921872 is an apocalyptic number.

2149921872 is the 23184-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149921872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679764480).

2149921872 is an abundant number, since it is smaller than the sum of its proper divisors (5209607088).

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

2149921872 is a wasteful number, since it uses less digits than its factorization.

2149921872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30958 (or 30946 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2149921872 is about 46367.2499939343. The cubic root of 2149921872 is about 1290.6472468553.

The spelling of 2149921872 in words is "two billion, one hundred forty-nine million, nine hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1656 1932 2484 2576 2898 3024 3312 3864 4347 4968 5796 7728 8694 9936 11592 17388 23184 30911 34776 61822 69552 92733 123644 185466 216377 247288 278199 370932 432754 494576 556398 649131 710953 741864 834597 865508 1112796 1298262 1421906 1483728 1669194 1731016 1947393 2132859 2225592 2596524 2843812 3338388 3462032 3894786 4265718 4451184 4976671 5193048 5687624 5842179 6398577 6676776 7789572 8531436 9953342 10386096 11375248 11684358 12797154 13353552 14930013 15579144 17062872 19195731 19906684 23368716 25594308 29860026 31158288 34125744 38391462 39813368 44790039 46737432 51188616 59720052 76782924 79626736 89580078 93474864 102377232 119440104 134370117 153565848 179160156 238880208 268740234 307131696 358320312 537480468 716640624 1074960936 2149921872