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56676321450 = 232527101917657
BaseRepresentation
bin110100110010001011…
…000000100010101010
312102021212111102220200
4310302023000202222
51412033114241300
642011534133030
74044330532530
oct646213004252
9172255442820
1056676321450
1122044340191
12ab98951176
135462ca72a8
142a592b2150
15171aa74200
hexd322c08aa

56676321450 has 144 divisors (see below), whose sum is σ = 174203939520. Its totient is φ = 12941141760.

The previous prime is 56676321439. The next prime is 56676321461. The reversal of 56676321450 is 5412367665.

56676321450 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 632 + 1 + 4 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56676321439) and next prime (56676321461).

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 = 56676321396 and 56676321405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3201022 + ... + 3218678.

It is an arithmetic number, because the mean of its divisors is an integer number (1209749580).

Almost surely, 256676321450 is an apocalyptic number.

56676321450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56676321450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87101969760).

56676321450 is an abundant number, since it is smaller than the sum of its proper divisors (117527618070).

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

56676321450 is a wasteful number, since it uses less digits than its factorization.

56676321450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18701 (or 18693 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 56676321450 in words is "fifty-six billion, six hundred seventy-six million, three hundred twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1019 1050 1575 2038 3057 3150 5095 6114 7133 9171 10190 14266 15285 17657 18342 21399 25475 30570 35314 35665 42798 45855 50950 52971 64197 71330 76425 88285 91710 105942 106995 123599 128394 152850 158913 176570 178325 213990 229275 247198 264855 317826 320985 356650 370797 441425 458550 529710 534975 617995 641970 741594 794565 882850 1069950 1112391 1235990 1324275 1589130 1604925 1853985 2224782 2648550 3089975 3209850 3707970 3972825 5561955 6179950 7945650 9269925 11123910 17992483 18539850 27809775 35984966 53977449 55619550 89962415 107954898 125947381 161932347 179924830 251894762 269887245 323864694 377842143 449812075 539774490 629736905 755684286 809661735 899624150 1133526429 1259473810 1349436225 1619323470 1889210715 2267052858 2698872450 3148684525 3778421430 4048308675 5667632145 6297369050 8096617350 9446053575 11335264290 18892107150 28338160725 56676321450