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53456162640 = 2435359620429
BaseRepresentation
bin110001110010001111…
…000100111101010000
312002222110012102110120
4301302033010331100
51333434234201030
640320223030240
73601456612446
oct616217047520
9162873172416
1053456162640
1120741679211
12a43a43b380
13506bacac8a
14283175ab96
1515ccee3010
hexc723c4f50

53456162640 has 80 divisors (see below), whose sum is σ = 166175971200. Its totient is φ = 14215246336.

The previous prime is 53456162623. The next prime is 53456162647. The reversal of 53456162640 is 4626165435.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×534561626402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53456162592 and 53456162601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53456162647) 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, 224055 + ... + 396374.

It is an arithmetic number, because the mean of its divisors is an integer number (2077199640).

Almost surely, 253456162640 is an apocalyptic number.

It is an amenable number.

53456162640 is an abundant number, since it is smaller than the sum of its proper divisors (112719808560).

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

53456162640 is a wasteful number, since it uses less digits than its factorization.

53456162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620804 (or 620798 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 53456162640 in words is "fifty-three billion, four hundred fifty-six million, one hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 359 718 1077 1436 1795 2154 2872 3590 4308 5385 5744 7180 8616 10770 14360 17232 21540 28720 43080 86160 620429 1240858 1861287 2481716 3102145 3722574 4963432 6204290 7445148 9306435 9926864 12408580 14890296 18612870 24817160 29780592 37225740 49634320 74451480 148902960 222734011 445468022 668202033 890936044 1113670055 1336404066 1781872088 2227340110 2672808132 3341010165 3563744176 4454680220 5345616264 6682020330 8909360440 10691232528 13364040660 17818720880 26728081320 53456162640