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54104031020 = 225131721937897
BaseRepresentation
bin110010011000110110…
…011111111100101100
312011122121021112210202
4302120312133330230
51341301112443040
640504405053032
73623514450524
oct623066377454
9164577245722
1054104031020
1120a44351326
12a59b3b7178
1351430b6950
142893804684
151619d19015
hexc98d9ff2c

54104031020 has 144 divisors (see below), whose sum is σ = 136823907360. Its totient is φ = 17811726336.

The previous prime is 54104031019. The next prime is 54104031053. The reversal of 54104031020 is 2013040145.

It is a super-2 number, since 2×541040310202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 54104030983 and 54104031001.

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, 1408712 + ... + 1446608.

Almost surely, 254104031020 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 54104031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68411953680).

54104031020 is an abundant number, since it is smaller than the sum of its proper divisors (82719876340).

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

54104031020 is a wasteful number, since it uses less digits than its factorization.

54104031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37972 (or 37953 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 54104031020 its reverse (2013040145), we get a palindrome (56117071165).

The spelling of 54104031020 in words is "fifty-four billion, one hundred four million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 76 85 95 130 170 190 221 247 260 289 323 340 380 442 494 578 646 884 988 1105 1156 1235 1292 1445 1615 2210 2470 2890 3230 3757 4199 4420 4940 5491 5780 6460 7514 8398 10982 15028 16796 18785 20995 21964 27455 37570 37897 41990 54910 71383 75140 75794 83980 109820 142766 151588 189485 285532 356915 378970 492661 644249 713830 720043 757940 985322 1288498 1427660 1440086 1970644 2463305 2576996 2880172 3221245 3600215 4926610 6442490 7200430 8375237 9360559 9853220 10952233 12240731 12884980 14400860 16750474 18721118 21904466 24481462 33500948 37442236 41876185 43808932 46802795 48962924 54761165 61203655 83752370 93605590 109522330 122407310 142379029 159129503 167504740 187211180 208092427 219044660 244814620 284758058 318259006 416184854 569516116 636518012 711895145 795647515 832369708 1040462135 1423790290 1591295030 2080924270 2705201551 2847580580 3182590060 4161848540 5410403102 10820806204 13526007755 27052015510 54104031020