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2158493670 = 23551946751
BaseRepresentation
bin1000000010100111…
…1111111111100110
312120102120211200000
42000221333333212
513410033244140
6554104002130
7104326615314
oct20051777746
95512524600
102158493670
11a08460273
12502a60346
1328525b2b8
141669550b4
15c976da30
hex80a7ffe6

2158493670 has 96 divisors (see below), whose sum is σ = 6126382080. Its totient is φ = 545292000.

The previous prime is 2158493663. The next prime is 2158493683. The reversal of 2158493670 is 763948512.

2158493670 is a `hidden beast` number, since 2 + 1 + 584 + 9 + 3 + 67 + 0 = 666.

2158493670 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2158493670 is strictly pandigital in base 10.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 22795 + ... + 69545.

It is an arithmetic number, because the mean of its divisors is an integer number (63816480).

It is a 1-persistent number, because it is pandigital, but 2⋅2158493670 = 4316987340 is not.

Almost surely, 22158493670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158493670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063191040).

2158493670 is an abundant number, since it is smaller than the sum of its proper divisors (3967888410).

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

2158493670 is a wasteful number, since it uses less digits than its factorization.

2158493670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46792 (or 46780 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2158493670 is about 46459.5917976041. The cubic root of 2158493670 is about 1292.3602543623.

The spelling of 2158493670 in words is "two billion, one hundred fifty-eight million, four hundred ninety-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 810 855 1026 1215 1539 1710 2430 2565 3078 4617 5130 7695 9234 15390 23085 46170 46751 93502 140253 233755 280506 420759 467510 701265 841518 888269 1262277 1402530 1776538 2103795 2524554 2664807 3786831 4207590 4441345 5329614 6311385 7573662 7994421 8882690 11360493 12622770 13324035 15988842 18934155 22720986 23983263 26648070 37868310 39972105 47966526 56802465 71949789 79944210 113604930 119916315 143899578 215849367 239832630 359748945 431698734 719497890 1079246835 2158493670