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10023414258 = 23111322352387
BaseRepresentation
bin10010101010111000…
…10010100111110010
3221212112211012110010
421111130102213302
5131011443224013
64334340315350
7503250421044
oct112534224762
927775735403
1010023414258
114283a57540
121b389a2b56
13c397c7970
146b12d9a94
153d9e857c3
hex2557129f2

10023414258 has 64 divisors (see below), whose sum is σ = 23657582592. Its totient is φ = 2791126080.

The previous prime is 10023414227. The next prime is 10023414259. The reversal of 10023414258 is 85241432001.

10023414258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10023414259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165141 + ... + 217527.

It is an arithmetic number, because the mean of its divisors is an integer number (369649728).

Almost surely, 210023414258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023414258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828791296).

10023414258 is an abundant number, since it is smaller than the sum of its proper divisors (13634168334).

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

10023414258 is a wasteful number, since it uses less digits than its factorization.

10023414258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52639.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 10023414258 its reverse (85241432001), we get a palindrome (95264846259).

The spelling of 10023414258 in words is "ten billion, twenty-three million, four hundred fourteen thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 223 286 429 446 669 858 1338 2453 2899 4906 5798 7359 8697 14718 17394 31889 52387 63778 95667 104774 157161 191334 314322 576257 681031 1152514 1362062 1728771 2043093 3457542 4086186 7491341 11682301 14982682 22474023 23364602 35046903 44948046 70093806 128505311 151869913 257010622 303739826 385515933 455609739 771031866 911219478 1670569043 3341138086 5011707129 10023414258