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2136958470 = 233528327967
BaseRepresentation
bin111111101011111…
…0110011000000110
312111221001201221000
41333113312120012
513334030132340
6552014234130
7103645563423
oct17727663006
95457051830
102136958470
119a7291589
124b77b5946
1328095b18a
14163b4ad4a
15c7917d30
hex7f5f6606

2136958470 has 64 divisors (see below), whose sum is σ = 5718896640. Its totient is φ = 567821664.

The previous prime is 2136958459. The next prime is 2136958513. The reversal of 2136958470 is 748596312.

2136958470 is a `hidden beast` number, since 2 + 1 + 3 + 69 + 584 + 7 + 0 = 666.

2136958470 is digitally balanced in base 6 and base 10, because in such bases 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).

2136958470 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 31 ways as a sum of consecutive naturals, for example, 62427 + ... + 90393.

It is an arithmetic number, because the mean of its divisors is an integer number (89357760).

It is a 1-persistent number, because it is pandigital, but 2⋅2136958470 = 4273916940 is not.

Almost surely, 22136958470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136958470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859448320).

2136958470 is an abundant number, since it is smaller than the sum of its proper divisors (3581938170).

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

2136958470 is a wasteful number, since it uses less digits than its factorization.

2136958470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28266 (or 28260 counting only the distinct ones).

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

The square root of 2136958470 is about 46227.2481335413. The cubic root of 2136958470 is about 1288.0479399585.

The spelling of 2136958470 in words is "two billion, one hundred thirty-six million, nine hundred fifty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 283 566 849 1415 1698 2547 2830 4245 5094 7641 8490 12735 15282 25470 27967 38205 55934 76410 83901 139835 167802 251703 279670 419505 503406 755109 839010 1258515 1510218 2517030 3775545 7551090 7914661 15829322 23743983 39573305 47487966 71231949 79146610 118719915 142463898 213695847 237439830 356159745 427391694 712319490 1068479235 2136958470