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45535354052144 = 2411677948880333
BaseRepresentation
bin10100101101010000001101…
…00110100101111000110000
312222020010201010010210010212
422112220012212211320300
521432022401114132034
6240502353004043252
712406551344133545
oct1226500646457060
9188203633123125
1045535354052144
1113566487292740
125135081b33528
131c53c72174b78
14b35ccc5d4bcc
1553e72bc3b2ce
hex296a069a5e30

45535354052144 has 80 divisors (see below), whose sum is σ = 98918154309120. Its totient is φ = 20130875930880.

The previous prime is 45535354052143. The next prime is 45535354052179. The reversal of 45535354052144 is 44125045353554.

It is a junction number, because it is equal to n+sod(n) for n = 45535354052092 and 45535354052101.

It is not an unprimeable number, because it can be changed into a prime (45535354052143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23508599 + ... + 25371734.

It is an arithmetic number, because the mean of its divisors is an integer number (1236476928864).

Almost surely, 245535354052144 is an apocalyptic number.

45535354052144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45535354052144 is an abundant number, since it is smaller than the sum of its proper divisors (53382800256976).

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

45535354052144 is a wasteful number, since it uses less digits than its factorization.

45535354052144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48880498 (or 48880492 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 50.

The spelling of 45535354052144 in words is "forty-five trillion, five hundred thirty-five billion, three hundred fifty-four million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 67 79 88 134 158 176 268 316 536 632 737 869 1072 1264 1474 1738 2948 3476 5293 5896 6952 10586 11792 13904 21172 42344 58223 84688 116446 232892 465784 931568 48880333 97760666 195521332 391042664 537683663 782085328 1075367326 2150734652 3274982311 3861546307 4301469304 6549964622 7723092614 8602938608 13099929244 15446185228 26199858488 30892370456 36024805421 42477009377 52399716976 61784740912 72049610842 84954018754 144099221684 169908037508 258723602569 288198443368 339816075016 517447205138 576396886736 679632150032 1034894410276 2069788820552 2845959628259 4139577641104 5691919256518 11383838513036 22767677026072 45535354052144