Search a number
-
+
56179272060 = 2235522750923
BaseRepresentation
bin110100010100100010…
…111010100101111100
312101000020012201100000
4310110202322211330
51410023343201220
641450340434300
74026113635122
oct642442724574
9171006181300
1056179272060
112190980966a
12aa7a3a8990
1353b4016222
142a0d287912
1516dc0e0390
hexd148ba97c

56179272060 has 144 divisors (see below), whose sum is σ = 177503953536. Its totient is φ = 14914850112.

The previous prime is 56179272059. The next prime is 56179272089. The reversal of 56179272060 is 6027297165.

56179272060 is a `hidden beast` number, since 5 + 617 + 9 + 2 + 7 + 20 + 6 + 0 = 666.

56179272060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×561792720602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 56179271997 and 56179272015.

It is a congruent number.

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, 1077759 + ... + 1128681.

It is an arithmetic number, because the mean of its divisors is an integer number (1232666344).

Almost surely, 256179272060 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 56179272060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88751976768).

56179272060 is an abundant number, since it is smaller than the sum of its proper divisors (121324681476).

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

56179272060 is a wasteful number, since it uses less digits than its factorization.

56179272060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51174 (or 51160 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 56179272060 in words is "fifty-six billion, one hundred seventy-nine million, two hundred seventy-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 227 243 270 324 405 454 486 540 681 810 908 972 1135 1215 1362 1620 2043 2270 2430 2724 3405 4086 4540 4860 6129 6810 8172 10215 12258 13620 18387 20430 24516 30645 36774 40860 50923 55161 61290 73548 91935 101846 110322 122580 152769 183870 203692 220644 254615 275805 305538 367740 458307 509230 551610 611076 763845 916614 1018460 1103220 1374921 1527690 1833228 2291535 2749842 3055380 4124763 4583070 5499684 6874605 8249526 9166140 11559521 12374289 13749210 16499052 20623815 23119042 24748578 27498420 34678563 41247630 46238084 49497156 57797605 61871445 69357126 82495260 104035689 115595210 123742890 138714252 173392815 208071378 231190420 247485780 312107067 346785630 416142756 520178445 624214134 693571260 936321201 1040356890 1248428268 1560535335 1872642402 2080713780 2808963603 3121070670 3745284804 4681606005 5617927206 6242141340 9363212010 11235854412 14044818015 18726424020 28089636030 56179272060