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10533703680 = 21232557149
BaseRepresentation
bin10011100111101101…
…11001000000000000
31000012010000120221100
421303312321000000
5133033112004210
64501125454400
7522015001233
oct116366710000
930163016840
1010533703680
114516001535
12205b871400
13cbb443276
1471cdad41a
15419b825c0
hex273db9000

10533703680 has 156 divisors (see below), whose sum is σ = 36513020700. Its totient is φ = 2808938496.

The previous prime is 10533703673. The next prime is 10533703711. The reversal of 10533703680 is 8630733501.

10533703680 is a `hidden beast` number, since 10 + 533 + 7 + 0 + 36 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1610256384 + 8923447296 = 40128^2 + 94464^2 .

It is a super-2 number, since 2×105337036802 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155746 + ... + 212894.

It is an arithmetic number, because the mean of its divisors is an integer number (234057825).

Almost surely, 210533703680 is an apocalyptic number.

10533703680 is a gapful number since it is divisible by the number (10) 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 10533703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18256510350).

10533703680 is an abundant number, since it is smaller than the sum of its proper divisors (25979317020).

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

10533703680 is an equidigital number, since it uses as much as digits as its factorization.

10533703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57184 (or 57159 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10533703680 in words is "ten billion, five hundred thirty-three million, seven hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 15360 18432 20480 23040 30720 36864 46080 57149 61440 92160 114298 171447 184320 228596 285745 342894 457192 514341 571490 685788 857235 914384 1028682 1142980 1371576 1714470 1828768 2057364 2285960 2571705 2743152 3428940 3657536 4114728 4571920 5143410 5486304 6857880 7315072 8229456 9143840 10286820 10972608 13715760 14630144 16458912 18287680 20573640 21945216 27431520 29260288 32917824 36575360 41147280 43890432 54863040 58520576 65835648 73150720 82294560 87780864 109726080 117041152 131671296 146301440 164589120 175561728 219452160 234082304 263342592 292602880 329178240 351123456 438904320 526685184 585205760 658356480 702246912 877808640 1053370368 1170411520 1316712960 1755617280 2106740736 2633425920 3511234560 5266851840 10533703680