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10055200512 = 28373750551
BaseRepresentation
bin10010101110101011…
…00010111100000000
3221221202122002222210
421113111202330000
5131043112404022
64341433502120
7504114536250
oct112725427400
927852562883
1010055200512
11429a997a75
121b47571940
13c432769b6
146b5611960
153dcb63a0c
hex257562f00

10055200512 has 144 divisors (see below), whose sum is σ = 31411799552. Its totient is φ = 2795212800.

The previous prime is 10055200471. The next prime is 10055200567. The reversal of 10055200512 is 21500255001.

It is a super-2 number, since 2×100552005122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173637 + ... + 224187.

Almost surely, 210055200512 is an apocalyptic number.

10055200512 is a gapful number since it is divisible by the number (12) 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 10055200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15705899776).

10055200512 is an abundant number, since it is smaller than the sum of its proper divisors (21356599040).

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

10055200512 is an equidigital number, since it uses as much as digits as its factorization.

10055200512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50614 (or 50600 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

Adding to 10055200512 its reverse (21500255001), we get a palindrome (31555455513).

The spelling of 10055200512 in words is "ten billion, fifty-five million, two hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 518 592 672 768 777 888 896 1036 1184 1344 1554 1776 1792 2072 2368 2688 3108 3552 4144 4736 5376 6216 7104 8288 9472 12432 14208 16576 24864 28416 33152 49728 50551 66304 99456 101102 151653 198912 202204 303306 353857 404408 606612 707714 808816 1061571 1213224 1415428 1617632 1870387 2123142 2426448 2830856 3235264 3740774 4246284 4852896 5611161 5661712 6470528 7481548 8492568 9705792 11222322 11323424 12941056 13092709 14963096 16985136 19411584 22444644 22646848 26185418 29926192 33970272 38823168 39278127 44889288 45293696 52370836 59852384 67940544 78556254 89778576 90587392 104741672 119704768 135881088 157112508 179557152 209483344 239409536 271762176 314225016 359114304 418966688 478819072 628450032 718228608 837933376 1256900064 1436457216 1675866752 2513800128 3351733504 5027600256 10055200512