Search a number
-
+
800820625408 = 21668317891
BaseRepresentation
bin10111010011101001010…
…00010000000000000000
32211120001120021211102021
423221310220100000000
5101110040040003113
61411520353131224
7111600040000636
oct13516450200000
92746046254367
10800820625408
11289698402811
1210b255259b14
135a694ca153b
142aa8d33d356
1515c7039048d
hexba74a10000

800820625408 has 68 divisors (see below), whose sum is σ = 1604063675088. Its totient is φ = 399801712640.

The previous prime is 800820625399. The next prime is 800820625427. The reversal of 800820625408 is 804526028008.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44752143 + ... + 44770033.

Almost surely, 2800820625408 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 800820625408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802031837544).

800820625408 is an abundant number, since it is smaller than the sum of its proper divisors (803243049680).

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

800820625408 is an frugal number, since it uses more digits than its factorization.

800820625408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18606 (or 18576 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 800820625408 in words is "eight hundred billion, eight hundred twenty million, six hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 683 1024 1366 2048 2732 4096 5464 8192 10928 16384 17891 21856 32768 35782 43712 65536 71564 87424 143128 174848 286256 349696 572512 699392 1145024 1398784 2290048 2797568 4580096 5595136 9160192 11190272 12219553 18320384 22380544 24439106 36640768 44761088 48878212 73281536 97756424 146563072 195512848 293126144 391025696 586252288 782051392 1172504576 1564102784 3128205568 6256411136 12512822272 25025644544 50051289088 100102578176 200205156352 400410312704 800820625408