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375405074145 = 3453735370969
BaseRepresentation
bin1010111011001111110…
…00101101011011100001
31022212222121212200110000
411131213320231123201
522122312144333040
6444243025330213
736056613323553
oct5354770553341
91285877780400
10375405074145
111352324175a2
126090a496969
1329529001b8a
14142539414d3
159b7258d130
hex5767e2d6e1

375405074145 has 80 divisors (see below), whose sum is σ = 693103807440. Its totient is φ = 194250203136.

The previous prime is 375405074119. The next prime is 375405074147. The reversal of 375405074145 is 541470504573.

375405074145 is a `hidden beast` number, since 37 + 5 + 405 + 0 + 74 + 145 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7528859361 + 367876214784 = 86769^2 + 606528^2 .

It is not a de Polignac number, because 375405074145 - 29 = 375405073633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 375405074145.

It is not an unprimeable number, because it can be changed into a prime (375405074147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5254221 + ... + 5325189.

It is an arithmetic number, because the mean of its divisors is an integer number (8663797593).

Almost surely, 2375405074145 is an apocalyptic number.

It is an amenable number.

375405074145 is a deficient number, since it is larger than the sum of its proper divisors (317698733295).

375405074145 is a wasteful number, since it uses less digits than its factorization.

375405074145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71376 (or 71367 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 375405074145 in words is "three hundred seventy-five billion, four hundred five million, seventy-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 333 353 405 555 999 1059 1665 1765 2997 3177 4995 5295 9531 13061 14985 15885 28593 39183 47655 65305 70969 117549 142965 195915 212907 352647 354845 587745 638721 1057941 1064535 1763235 1916163 2625853 3193605 5289705 5748489 7877559 9580815 13129265 23632677 25052057 28742445 39387795 70898031 75156171 118163385 125260285 212694093 225468513 354490155 375780855 676405539 926926109 1063470465 1127342565 2029216617 2780778327 3382027695 4634630545 8342334981 10146083085 13903891635 25027004943 41711674905 75081014829 125135024715 375405074145