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850434053328 = 243237443360307
BaseRepresentation
bin11000110000000011101…
…00011101010011010000
310000022010012201002211200
430120001310131103100
5102413142104201303
61450403425111200
7115304356116246
oct14300164352320
93008105632750
10850434053328
112a8737941502
121189a0788500
1362270921892
142d2385a2796
15171c5d253a3
hexc601d1d4d0

850434053328 has 120 divisors (see below), whose sum is σ = 2449883980128. Its totient is φ = 275193075456.

The previous prime is 850434053311. The next prime is 850434053341. The reversal of 850434053328 is 823350434058.

850434053328 is a `hidden beast` number, since 8 + 50 + 4 + 3 + 40 + 533 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2180151 + ... + 2540457.

Almost surely, 2850434053328 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 850434053328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224941990064).

850434053328 is an abundant number, since it is smaller than the sum of its proper divisors (1599449926800).

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

850434053328 is a wasteful number, since it uses less digits than its factorization.

850434053328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360801 (or 360792 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 850434053328 in words is "eight hundred fifty billion, four hundred thirty-four million, fifty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 443 444 592 666 886 888 1329 1332 1772 1776 2658 2664 3544 3987 5316 5328 7088 7974 10632 15948 16391 21264 31896 32782 49173 63792 65564 98346 131128 147519 196692 262256 295038 360307 393384 590076 720614 786768 1080921 1180152 1441228 2161842 2360304 2882456 3242763 4323684 5764912 6485526 8647368 12971052 13331359 17294736 25942104 26662718 39994077 51884208 53325436 79988154 106650872 119982231 159616001 159976308 213301744 239964462 319232002 319952616 478848003 479928924 638464004 639905232 957696006 959857848 1276928008 1436544009 1915392012 1919715696 2553856016 2873088018 3830784024 5746176036 5905792037 7661568048 11492352072 11811584074 17717376111 22984704144 23623168148 35434752222 47246336296 53152128333 70869504444 94492672592 106304256666 141739008888 212608513332 283478017776 425217026664 850434053328