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2140636512 = 253714921379
BaseRepresentation
bin111111110010111…
…1000010101100000
312112011222121020210
41333211320111200
513341000332022
6552225134120
7104022052530
oct17745702540
95464877223
102140636512
119a9373993
124b8a8a340
13281648331
141644274c0
15c7de2a0c
hex7f978560

2140636512 has 96 divisors (see below), whose sum is σ = 6465312000. Its totient is φ = 607477248.

The previous prime is 2140636493. The next prime is 2140636513. The reversal of 2140636512 is 2156360412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21406365122 = 9164649353015052288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2140636512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140636513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89439 + ... + 110817.

It is an arithmetic number, because the mean of its divisors is an integer number (67347000).

Almost surely, 22140636512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140636512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232656000).

2140636512 is an abundant number, since it is smaller than the sum of its proper divisors (4324675488).

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

2140636512 is a wasteful number, since it uses less digits than its factorization.

2140636512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21548 (or 21540 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2140636512 is about 46267.0132167617. The cubic root of 2140636512 is about 1288.7864941688.

Adding to 2140636512 its reverse (2156360412), we get a palindrome (4296996924).

The spelling of 2140636512 in words is "two billion, one hundred forty million, six hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 149 168 224 298 336 447 596 672 894 1043 1192 1788 2086 2384 3129 3576 4172 4768 6258 7152 8344 12516 14304 16688 21379 25032 33376 42758 50064 64137 85516 100128 128274 149653 171032 256548 299306 342064 448959 513096 598612 684128 897918 1026192 1197224 1795836 2052384 2394448 3185471 3591672 4788896 6370942 7183344 9556413 12741884 14366688 19112826 22298297 25483768 38225652 44596594 50967536 66894891 76451304 89193188 101935072 133789782 152902608 178386376 267579564 305805216 356772752 535159128 713545504 1070318256 2140636512