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10043073216 = 26321112592
BaseRepresentation
bin10010101101001110…
…10010001011000000
3221220220210222110200
421112213102023000
5131032011320331
64340321525200
7503606466561
oct112647221300
927826728420
1010043073216
114294064610
121b434a3800
13c408bba97
146b3b76168
153dba6a5e6
hex2569d22c0

10043073216 has 126 divisors (see below), whose sum is σ = 31428587892. Its totient is φ = 3040938240.

The previous prime is 10043073203. The next prime is 10043073217. The reversal of 10043073216 is 61237034001.

10043073216 is a `hidden beast` number, since 10 + 0 + 430 + 7 + 3 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10043073216.

It is not an unprimeable number, because it can be changed into a prime (10043073217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7976395 + ... + 7977653.

Almost surely, 210043073216 is an apocalyptic number.

10043073216 is a gapful number since it is divisible by the number (16) 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 10043073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714293946).

10043073216 is an abundant number, since it is smaller than the sum of its proper divisors (21385514676).

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

10043073216 is an equidigital number, since it uses as much as digits as its factorization.

10043073216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10043073216 in words is "ten billion, forty-three million, seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1259 1584 2112 2518 3168 3777 5036 6336 7554 10072 11331 13849 15108 20144 22662 27698 30216 40288 41547 45324 55396 60432 80576 83094 90648 110792 120864 124641 166188 181296 221584 241728 249282 332376 362592 443168 498564 664752 725184 886336 997128 1329504 1585081 1994256 2659008 3170162 3988512 4755243 6340324 7977024 9510486 12680648 14265729 17435891 19020972 25361296 28531458 34871782 38041944 50722592 52307673 57062916 69743564 76083888 101445184 104615346 114125832 139487128 152167776 156923019 209230692 228251664 278974256 304335552 313846038 418461384 456503328 557948512 627692076 836922768 913006656 1115897024 1255384152 1673845536 2510768304 3347691072 5021536608 10043073216