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6405800856 = 2337136743777
BaseRepresentation
bin1011111011101000…
…01100001110011000
3121112102122101210120
411331310030032120
5101104341111411
62535350313240
7314512260150
oct57564141630
917472571716
106405800856
1127979a8aa4
1212a9358820
137b118b810
1444aa83760
15277595106
hex17dd0c398

6405800856 has 128 divisors (see below), whose sum is σ = 20004794880. Its totient is φ = 1664188416.

The previous prime is 6405800831. The next prime is 6405800887. The reversal of 6405800856 is 6580085046.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124440 + ... + 168216.

It is an arithmetic number, because the mean of its divisors is an integer number (156287460).

Almost surely, 26405800856 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 6405800856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10002397440).

6405800856 is an abundant number, since it is smaller than the sum of its proper divisors (13598994024).

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

6405800856 is a wasteful number, since it uses less digits than its factorization.

6405800856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43873 (or 43869 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 6405800856 is about 80036.2471384060. The cubic root of 6405800856 is about 1857.1963054801.

The spelling of 6405800856 in words is "six billion, four hundred five million, eight hundred thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 67 78 84 91 104 134 156 168 182 201 268 273 312 364 402 469 536 546 728 804 871 938 1092 1407 1608 1742 1876 2184 2613 2814 3484 3752 5226 5628 6097 6968 10452 11256 12194 18291 20904 24388 36582 43777 48776 73164 87554 131331 146328 175108 262662 306439 350216 525324 569101 612878 919317 1050648 1138202 1225756 1707303 1838634 2276404 2451512 2933059 3414606 3677268 3983707 4552808 5866118 6829212 7354536 7967414 8799177 11732236 11951121 13658424 15934828 17598354 20531413 23464472 23902242 31869656 35196708 38129767 41062826 47804484 61594239 70393416 76259534 82125652 95608968 114389301 123188478 152519068 164251304 228778602 246376956 266908369 305038136 457557204 492753912 533816738 800725107 915114408 1067633476 1601450214 2135266952 3202900428 6405800856