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63402620436 = 223217103599053
BaseRepresentation
bin111011000011000101…
…110011011000010100
320001122122012211111100
4323003011303120110
52014322032323221
645043214110100
74403114244621
oct730305633024
9201578184440
1063402620436
1124986143171
12103554ab330
135c9568c96c
1430d6743348
1519b1326926
hexec3173614

63402620436 has 36 divisors (see below), whose sum is σ = 169695250452. Its totient is φ = 19891017984.

The previous prime is 63402620423. The next prime is 63402620497.

63402620436 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 47108097936 + 16294522500 = 217044^2 + 127650^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63402620436.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51798915 + ... + 51800138.

It is an arithmetic number, because the mean of its divisors is an integer number (4713756957).

Almost surely, 263402620436 is an apocalyptic number.

It is an amenable number.

63402620436 is an abundant number, since it is smaller than the sum of its proper divisors (106292630016).

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

63402620436 is a wasteful number, since it uses less digits than its factorization.

63402620436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103599080 (or 103599075 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 63402620436 in words is "sixty-three billion, four hundred two million, six hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 103599053 207198106 310797159 414396212 621594318 932391477 1243188636 1761183901 1864782954 3522367802 3729565908 5283551703 7044735604 10567103406 15850655109 21134206812 31701310218 63402620436