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10006050048 = 28331487863
BaseRepresentation
bin10010101000110100…
…00011010100000000
3221211100011000020020
421110122003110000
5130443022100143
64332520213440
7502650010401
oct112432032400
927740130206
1010006050048
114275177555
121b3300a280
13c36028197
146acc999a8
153d86a5883
hex254683500

10006050048 has 144 divisors (see below), whose sum is σ = 27578105856. Its totient is φ = 3217397760.

The previous prime is 10006050029. The next prime is 10006050049. The reversal of 10006050048 is 84005060001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006050049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11594065 + ... + 11594927.

It is an arithmetic number, because the mean of its divisors is an integer number (191514624).

Almost surely, 210006050048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789052928).

10006050048 is an abundant number, since it is smaller than the sum of its proper divisors (17572055808).

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

10006050048 is an equidigital number, since it uses as much as digits as its factorization.

10006050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10006050048 in words is "ten billion, six million, fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 487 496 744 768 863 974 992 1461 1488 1726 1948 1984 2589 2922 2976 3452 3896 3968 5178 5844 5952 6904 7792 7936 10356 11688 11904 13808 15097 15584 20712 23376 23808 26753 27616 30194 31168 41424 45291 46752 53506 55232 60388 62336 80259 82848 90582 93504 107012 110464 120776 124672 160518 165696 181164 187008 214024 220928 241552 321036 331392 362328 374016 420281 428048 483104 642072 662784 724656 840562 856096 966208 1260843 1284144 1449312 1681124 1712192 1932416 2521686 2568288 2898624 3362248 3424384 3864832 5043372 5136576 5797248 6724496 6848768 10086744 10273152 11594496 13028711 13448992 20173488 20546304 26057422 26897984 39086133 40346976 52114844 53795968 78172266 80693952 104229688 107591936 156344532 161387904 208459376 312689064 322775808 416918752 625378128 833837504 1250756256 1667675008 2501512512 3335350016 5003025024 10006050048