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2136974652 = 2232281211247
BaseRepresentation
bin111111101011111…
…1010010100111100
312111221002120010100
41333113322110330
513334031142102
6552014441100
7103645661541
oct17727722474
95457076110
102136974652
119a72a275a
124b7803190
13280965657
14163b52bc8
15c791ca1c
hex7f5fa53c

2136974652 has 36 divisors (see below), whose sum is σ = 5421046176. Its totient is φ = 709786560.

The previous prime is 2136974633. The next prime is 2136974657. The reversal of 2136974652 is 2564796312.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×21369746523 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2136974598 and 2136974607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136974657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95508 + ... + 115739.

It is an arithmetic number, because the mean of its divisors is an integer number (150584616).

Almost surely, 22136974652 is an apocalyptic number.

It is an amenable number.

2136974652 is an abundant number, since it is smaller than the sum of its proper divisors (3284071524).

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

2136974652 is a wasteful number, since it uses less digits than its factorization.

2136974652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211538 (or 211533 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 2136974652 is about 46227.4231598518. The cubic root of 2136974652 is about 1288.0511911742.

The spelling of 2136974652 in words is "two billion, one hundred thirty-six million, nine hundred seventy-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 5058 10116 211247 422494 633741 844988 1267482 1901223 2534964 3802446 7604892 59360407 118720814 178081221 237441628 356162442 534243663 712324884 1068487326 2136974652