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2115445024 = 257114012141
BaseRepresentation
bin111111000010111…
…0010000100100000
312110102120202000201
41332011302010200
513313023220044
6545525154544
7103264662130
oct17605620440
95412522021
102115445024
11996128180
124b055ba54
13279367c24
14160d4aac0
15c5ab87d4
hex7e172120

2115445024 has 96 divisors (see below), whose sum is σ = 5207836032. Its totient is φ = 821760000.

The previous prime is 2115445001. The next prime is 2115445037. The reversal of 2115445024 is 4205445112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2115444983 and 2115445001.

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 15 ways as a sum of consecutive naturals, for example, 986994 + ... + 989134.

It is an arithmetic number, because the mean of its divisors is an integer number (54248292).

Almost surely, 22115445024 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 2115445024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603918016).

2115445024 is an abundant number, since it is smaller than the sum of its proper divisors (3092391008).

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

2115445024 is a wasteful number, since it uses less digits than its factorization.

2115445024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 2115445024 is about 45993.9672565870. The cubic root of 2115445024 is about 1283.7109561169.

The spelling of 2115445024 in words is "two billion, one hundred fifteen million, four hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 401 616 802 1232 1604 2141 2464 2807 3208 4282 4411 5614 6416 8564 8822 11228 12832 14987 17128 17644 22456 23551 29974 30877 34256 35288 44912 47102 59948 61754 68512 70576 89824 94204 119896 123508 141152 164857 188408 239792 247016 329714 376816 479584 494032 659428 753632 858541 988064 1318856 1717082 2637712 3434164 5275424 6009787 6868328 9443951 12019574 13736656 18887902 24039148 27473312 37775804 48078296 66107657 75551608 96156592 132215314 151103216 192313184 264430628 302206432 528861256 1057722512 2115445024