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2136973146 = 2371116192857
BaseRepresentation
bin111111101011111…
…1001111101011010
312111221002111001120
41333113321331122
513334031120041
6552014430110
7103645654260
oct17727717532
95457074046
102136973146
119a72a1610
124b7802336
13280964a69
14163b52430
15c791c366
hex7f5f9f5a

2136973146 has 64 divisors (see below), whose sum is σ = 5333713920. Its totient is φ = 554520960.

The previous prime is 2136973129. The next prime is 2136973159. The reversal of 2136973146 is 6413796312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2136973098 and 2136973107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746550 + ... + 749406.

It is an arithmetic number, because the mean of its divisors is an integer number (83339280).

Almost surely, 22136973146 is an apocalyptic number.

2136973146 is an abundant number, since it is smaller than the sum of its proper divisors (3196740774).

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

2136973146 is a wasteful number, since it uses less digits than its factorization.

2136973146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499.

The product of its digits is 163296, while the sum is 42.

The square root of 2136973146 is about 46227.4068708164. The cubic root of 2136973146 is about 1288.0508885961.

The spelling of 2136973146 in words is "two billion, one hundred thirty-six million, nine hundred seventy-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 1619 2857 3238 4857 5714 8571 9714 11333 17142 17809 19999 22666 31427 33999 35618 39998 53427 59997 62854 67998 94281 106854 119994 124663 188562 219989 249326 373989 439978 659967 747978 1319934 4625483 9250966 13876449 27752898 32378381 50880313 64756762 97135143 101760626 152640939 194270286 305281878 356162191 712324382 1068486573 2136973146