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2158072470 = 234510924443
BaseRepresentation
bin1000000010100001…
…1001001010010110
312120101210102220000
42000220121022112
513404431304340
6554050552130
7104323212321
oct20050311226
95511712800
102158072470
11a081a2874
12502898646
13285141678
141668857b8
15c96d8d30
hex80a19296

2158072470 has 80 divisors (see below), whose sum is σ = 5856293520. Its totient is φ = 570182976.

The previous prime is 2158072453. The next prime is 2158072481. The reversal of 2158072470 is 742708512.

2158072470 is a `hidden beast` number, since 2 + 1 + 580 + 7 + 2 + 4 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76069 + ... + 100511.

It is an arithmetic number, because the mean of its divisors is an integer number (73203669).

Almost surely, 22158072470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158072470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928146760).

2158072470 is an abundant number, since it is smaller than the sum of its proper divisors (3698221050).

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

2158072470 is a wasteful number, since it uses less digits than its factorization.

2158072470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24571 (or 24562 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2158072470 is about 46455.0586050647. The cubic root of 2158072470 is about 1292.2761868546.

The spelling of 2158072470 in words is "two billion, one hundred fifty-eight million, seventy-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 162 218 270 327 405 545 654 810 981 1090 1635 1962 2943 3270 4905 5886 8829 9810 14715 17658 24443 29430 44145 48886 73329 88290 122215 146658 219987 244430 366645 439974 659961 733290 1099935 1319922 1979883 2199870 2664287 3299805 3959766 5328574 6599610 7992861 9899415 13321435 15985722 19798830 23978583 26642870 39964305 47957166 71935749 79928610 119892915 143871498 215807247 239785830 359678745 431614494 719357490 1079036235 2158072470