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10542412254 = 23112431991697
BaseRepresentation
bin10011101000110000…
…00111000111011110
31000012201102000212010
421310120013013132
5133042324143004
64502040252050
7522152011533
oct116430070736
930181360763
1010542412254
11451aa0a400
122062771026
13cc01a207a
147201d8d8a
1541a802a89
hex2746071de

10542412254 has 96 divisors (see below), whose sum is σ = 23848070400. Its totient is φ = 3102865920.

The previous prime is 10542412247. The next prime is 10542412259. The reversal of 10542412254 is 45221424501.

10542412254 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105424122542 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542412259) 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 47 ways as a sum of consecutive naturals, for example, 6211534 + ... + 6213230.

It is an arithmetic number, because the mean of its divisors is an integer number (248417400).

Almost surely, 210542412254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542412254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924035200).

10542412254 is an abundant number, since it is smaller than the sum of its proper divisors (13305658146).

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

10542412254 is a wasteful number, since it uses less digits than its factorization.

10542412254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 10542412254 its reverse (45221424501), we get a palindrome (55763836755).

The spelling of 10542412254 in words is "ten billion, five hundred forty-two million, four hundred twelve thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 43 66 86 121 129 199 242 258 363 398 473 597 726 946 1194 1419 1697 2189 2838 3394 4378 5091 5203 6567 8557 10182 10406 13134 15609 17114 18667 24079 25671 31218 37334 48158 51342 56001 72237 72971 94127 112002 144474 145942 188254 205337 218913 282381 337703 410674 437826 564762 616011 675406 802681 1013109 1035397 1232022 1605362 2026218 2070794 2408043 3106191 3714733 4816086 6212382 7429466 8829491 11144199 14521229 17658982 22288398 26488473 29042458 40862063 43563687 52976946 81724126 87127374 122586189 159733519 245172378 319467038 479200557 958401114 1757068709 3514137418 5271206127 10542412254