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10653432213413 = 11232973127156619
BaseRepresentation
bin1001101100000111001000…
…0010101110111110100101
31101201110101000012222121202
42123001302002232332211
52344021212121312123
634354041425052245
72146453660460213
oct233016202567645
941643330188552
1010653432213413
113438105828380
121240858a87085
135c37ca949b52
1428b8b3897cb3
151371c0b22a28
hex9b0720aefa5

10653432213413 has 64 divisors (see below), whose sum is σ = 12817480089600. Its totient is φ = 8752365135360.

The previous prime is 10653432213377. The next prime is 10653432213467. The reversal of 10653432213413 is 31431223435601.

10653432213413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10653432213413 - 26 = 10653432213349 is a prime.

It is a super-2 number, since 2×106534322134132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10653432203413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67943018 + ... + 68099636.

It is an arithmetic number, because the mean of its divisors is an integer number (200273126400).

Almost surely, 210653432213413 is an apocalyptic number.

It is an amenable number.

10653432213413 is a deficient number, since it is larger than the sum of its proper divisors (2164047876187).

10653432213413 is a wasteful number, since it uses less digits than its factorization.

10653432213413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156882.

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 10653432213413 in words is "ten trillion, six hundred fifty-three billion, four hundred thirty-two million, two hundred thirteen thousand, four hundred thirteen".

Divisors: 1 11 23 29 73 127 253 319 667 803 1397 1679 2117 2921 3683 7337 9271 18469 23287 32131 40513 48691 84709 101981 156619 213233 268859 535601 931799 1722809 2345563 2957449 3602237 4541951 6183757 11433187 19890613 39624607 49961461 68021327 104464873 125765057 218796743 262963301 331562423 457484099 576827777 1149113603 1452014749 2892596311 3647186653 5032325089 6345105547 7625935729 13267038871 15972162239 33396339227 42108427721 83885293019 145937427581 367359731497 463192704931 968493837583 10653432213413