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54112636620 = 223257307139891
BaseRepresentation
bin110010011001010111…
…010100111011001100
312011200012110202110200
4302121113110323030
51341310313332440
640505313333500
73623650551660
oct623127247314
9164605422420
1054112636620
1120a49199899
12a5a2267290
135144b0a913
142894a048a0
15161a968c30
hexc995d4ecc

54112636620 has 144 divisors (see below), whose sum is σ = 188202862848. Its totient is φ = 12328225920.

The previous prime is 54112636619. The next prime is 54112636621. The reversal of 54112636620 is 2663621145.

54112636620 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 26 + 3 + 6 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (54112636619) and next prime (54112636621).

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

It is not an unprimeable number, because it can be changed into a prime (54112636621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316875 + ... + 456765.

Almost surely, 254112636620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54112636620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94101431424).

54112636620 is an abundant number, since it is smaller than the sum of its proper divisors (134090226228).

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

54112636620 is a wasteful number, since it uses less digits than its factorization.

54112636620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140220 (or 140215 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 54112636620 in words is "fifty-four billion, one hundred twelve million, six hundred thirty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 307 315 420 614 630 921 1228 1260 1535 1842 2149 2763 3070 3684 4298 4605 5526 6140 6447 8596 9210 10745 11052 12894 13815 18420 19341 21490 25788 27630 32235 38682 42980 55260 64470 77364 96705 128940 139891 193410 279782 386820 419673 559564 699455 839346 979237 1259019 1398910 1678692 1958474 2098365 2518038 2797820 2937711 3916948 4196730 4896185 5036076 5875422 6295095 8393460 8813133 9792370 11750844 12590190 14688555 17626266 19584740 25180380 29377110 35252532 42946537 44065665 58754220 85893074 88131330 128839611 171786148 176262660 214732685 257679222 300625759 386518833 429465370 515358444 601251518 644198055 773037666 858930740 901877277 1202503036 1288396110 1503128795 1546075332 1803754554 1932594165 2576792220 2705631831 3006257590 3607509108 3865188330 4509386385 5411263662 6012515180 7730376660 9018772770 10822527324 13528159155 18037545540 27056318310 54112636620