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10429552896 = 28373752433
BaseRepresentation
bin10011011011010011…
…00101100100000000
3222220212001011220220
421231221211210000
5132324431143041
64442525303040
7516311510520
oct115551454400
928825034826
1010429552896
114472235504
122030a04a80
13ca29a8399
1470d21b680
1541095cd66
hex26da65900

10429552896 has 144 divisors (see below), whose sum is σ = 32581229184. Its totient is φ = 2899279872.

The previous prime is 10429552891. The next prime is 10429552951. The reversal of 10429552896 is 69825592401.

It is a super-2 number, since 2×104295528962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10429552891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172696 + ... + 225128.

It is an arithmetic number, because the mean of its divisors is an integer number (226258536).

Almost surely, 210429552896 is an apocalyptic number.

10429552896 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 10429552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290614592).

10429552896 is an abundant number, since it is smaller than the sum of its proper divisors (22151676288).

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

10429552896 is an equidigital number, since it uses as much as digits as its factorization.

10429552896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52496 (or 52482 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 10429552896 in words is "ten billion, four hundred twenty-nine million, five hundred fifty-two thousand, eight hundred ninety-six".

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 52433 66304 99456 104866 157299 198912 209732 314598 367031 419464 629196 734062 838928 1101093 1258392 1468124 1677856 1940021 2202186 2516784 2936248 3355712 3880042 4404372 5033568 5820063 5872496 6711424 7760084 8808744 10067136 11640126 11744992 13422848 13580147 15520168 17617488 20134272 23280252 23489984 27160294 31040336 35234976 40268544 40740441 46560504 46979968 54320588 62080672 70469952 81480882 93121008 93959936 108641176 124161344 140939904 162961764 186242016 217282352 248322688 281879808 325923528 372484032 434564704 496645376 651847056 744968064 869129408 1303694112 1489936128 1738258816 2607388224 3476517632 5214776448 10429552896