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10145860218 = 23213167259631
BaseRepresentation
bin10010111001011110…
…11000101001111010
3222012002020002201200
421130233120221322
5131234320011333
64354432555030
7506265250254
oct113457305172
928162202650
1010145860218
114337089a4a
121b719b2a76
13c58c99cb0
146c3690cd4
153e5ac0c13
hex25cbd8a7a

10145860218 has 48 divisors (see below), whose sum is σ = 23815524096. Its totient is φ = 3103097760.

The previous prime is 10145860147. The next prime is 10145860229. The reversal of 10145860218 is 81206854101.

10145860218 is a `hidden beast` number, since 1 + 0 + 1 + 45 + 8 + 602 + 1 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90738 + ... + 168893.

It is an arithmetic number, because the mean of its divisors is an integer number (496156752).

Almost surely, 210145860218 is an apocalyptic number.

10145860218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10145860218 is an abundant number, since it is smaller than the sum of its proper divisors (13669663878).

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

10145860218 is a wasteful number, since it uses less digits than its factorization.

10145860218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259819 (or 259816 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10145860218 in words is "ten billion, one hundred forty-five million, eight hundred sixty thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 167 234 334 501 1002 1503 2171 3006 4342 6513 13026 19539 39078 259631 519262 778893 1557786 2336679 3375203 4673358 6750406 10125609 20251218 30376827 43358377 60753654 86716754 130075131 260150262 390225393 563658901 780450786 1127317802 1690976703 3381953406 5072930109 10145860218