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53641624140 = 22335132587789
BaseRepresentation
bin110001111101010010…
…100011101001001100
312010110101011211211000
4301331102203221030
51334324223433030
640350450100300
73606201165516
oct617522435114
9163411154730
1053641624140
1120827331185
12a49057a690
13509b364a00
14284c236bb6
1515de429860
hexc7d4a3a4c

53641624140 has 144 divisors (see below), whose sum is σ = 180710157600. Its totient is φ = 13204069632.

The previous prime is 53641624139. The next prime is 53641624151. The reversal of 53641624140 is 4142614635.

53641624140 is a `hidden beast` number, since 5 + 3 + 641 + 6 + 2 + 4 + 1 + 4 + 0 = 666.

53641624140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 53641624095 and 53641624104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202635 + ... + 385154.

It is an arithmetic number, because the mean of its divisors is an integer number (1254931650).

Almost surely, 253641624140 is an apocalyptic number.

It is an amenable number.

53641624140 is an abundant number, since it is smaller than the sum of its proper divisors (127068533460).

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

53641624140 is a wasteful number, since it uses less digits than its factorization.

53641624140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587833 (or 587812 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53641624140 in words is "fifty-three billion, six hundred forty-one million, six hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 30420 45630 91260 587789 1175578 1763367 2351156 2938945 3526734 5290101 5877890 7053468 7641257 8816835 10580202 11755780 15282514 15870303 17633670 21160404 22923771 26450505 30565028 31740606 35267340 38206285 45847542 52901010 63481212 68771313 76412570 79351515 91695084 99336341 105802020 114618855 137542626 152825140 158703030 198672682 206313939 229237710 275085252 298009023 317406060 343856565 397345364 412627878 458475420 496681705 596018046 687713130 825255756 894027069 993363410 1031569695 1192036092 1375426260 1490045115 1788054138 1986726820 2063139390 2682081207 2980090230 3576108276 4126278780 4470135345 5364162414 5960180460 8940270690 10728324828 13410406035 17880541380 26820812070 53641624140