Search a number
-
+
811453250560 = 2105318149823
BaseRepresentation
bin10111100111011100110…
…00011111110000000000
32212120111120110011002211
423303232120133300000
5101243324013004220
61420435415151504
7112424365553041
oct13635630376000
92776446404084
10811453250560
11293154229427
12111322075594
135b69aa6b404
142b3bb4dc8c8
1516193a62b5a
hexbcee61fc00

811453250560 has 88 divisors (see below), whose sum is σ = 1947187886976. Its totient is φ = 324472750080.

The previous prime is 811453250537. The next prime is 811453250653. The reversal of 811453250560 is 65052354118.

811453250560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16261809 + ... + 16311631.

Almost surely, 2811453250560 is an apocalyptic number.

811453250560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811453250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973593943488).

811453250560 is an abundant number, since it is smaller than the sum of its proper divisors (1135734636416).

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

811453250560 is a wasteful number, since it uses less digits than its factorization.

811453250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53029 (or 53011 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 811453250560 in words is "eight hundred eleven billion, four hundred fifty-three million, two hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3181 5120 6362 12724 15905 25448 31810 49823 50896 63620 99646 101792 127240 199292 203584 249115 254480 398584 407168 498230 508960 797168 814336 996460 1017920 1594336 1628672 1992920 2035840 3188672 3257344 3985840 4071680 6377344 7971680 8143360 12754688 15943360 16286720 25509376 31886720 51018752 63773440 127546880 158486963 255093760 316973926 633947852 792434815 1267895704 1584869630 2535791408 3169739260 5071582816 6339478520 10143165632 12678957040 20286331264 25357914080 40572662528 50715828160 81145325056 101431656320 162290650112 202863312640 405726625280 811453250560