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21906346524769 = 723558232437423
BaseRepresentation
bin1001111101100011110000…
…00000001100000001100001
32212120020002221202212200001
410332301320000030001201
510332403144202243034
6114331345304100001
74420452455101060
oct476617000140141
985506087685601
1021906346524769
116a8647a574813
12255971b164601
13c2b9b4b41875
1455a3b69001d7
1527ec7adb0a14
hex13ec7800c061

21906346524769 has 16 divisors (see below), whose sum is σ = 26124817416192. Its totient is φ = 17960153756688.

The previous prime is 21906346524743. The next prime is 21906346524787. The reversal of 21906346524769 is 96742564360912.

It is a cyclic number.

It is not a de Polignac number, because 21906346524769 - 219 = 21906346000481 is a prime.

It is a super-2 number, since 2×219063465247692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21906346524769.

It is not an unprimeable number, because it can be changed into a prime (21906346524739) 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, 7768792 + ... + 10206214.

It is an arithmetic number, because the mean of its divisors is an integer number (1632801088512).

Almost surely, 221906346524769 is an apocalyptic number.

It is an amenable number.

21906346524769 is a deficient number, since it is larger than the sum of its proper divisors (4218470891423).

21906346524769 is a wasteful number, since it uses less digits than its factorization.

21906346524769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493276.

The product of its (nonzero) digits is 117573120, while the sum is 64.

The spelling of 21906346524769 in words is "twenty-one trillion, nine hundred six billion, three hundred forty-six million, five hundred twenty-four thousand, seven hundred sixty-nine".

Divisors: 1 7 23 161 55823 390761 1283929 2437423 8987503 17061961 56060729 392425103 136064264129 952449848903 3129478074967 21906346524769