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105442435949022 = 23223211073559751
BaseRepresentation
bin10111111110011000111010…
…111100000110000111011110
3111211100012100122201121001100
4113332120322330012013132
5102310032102100332042
61012131330353053530
731131651600336414
oct2776307274060736
9454305318647040
10105442435949022
113066298223a687
12b9ab54a5572a6
1346ab243492443
141c076266652b4
15c2cbee19924c
hex5fe63af061de

105442435949022 has 36 divisors (see below), whose sum is σ = 238823463171384. Its totient is φ = 33619327401000.

The previous prime is 105442435949017. The next prime is 105442435949023. The reversal of 105442435949022 is 220949534244501.

105442435949022 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 2 + 43 + 594 + 9 + 0 + 2 + 2 = 666.

It is a super-2 number, since 2×1054424359490222 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105442435949022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105442435949023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5536770354 + ... + 5536789397.

It is an arithmetic number, because the mean of its divisors is an integer number (6633985088094).

Almost surely, 2105442435949022 is an apocalyptic number.

105442435949022 is an abundant number, since it is smaller than the sum of its proper divisors (133381027222362).

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

105442435949022 is a wasteful number, since it uses less digits than its factorization.

105442435949022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11073559805 (or 11073559779 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 105442435949022 in words is "one hundred five trillion, four hundred forty-two billion, four hundred thirty-five million, nine hundred forty-nine thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 3174 4761 9522 11073559751 22147119502 33220679253 66441358506 99662037759 199324075518 254691874273 509383748546 764075622819 1528151245638 2292226868457 4584453736914 5857913108279 11715826216558 17573739324837 35147478649674 52721217974511 105442435949022