Search a number
-
+
61400786180733 = 353594011755209
BaseRepresentation
bin11011111010111111111000…
…00011001001101001111101
322001101212011100201102200000
431331133330003021221331
531021442302230240413
6334331044243424513
715635026502134536
oct1575377403115175
9261355140642600
1061400786180733
1118622a220a163a
126a77a73085139
1328350b930a15c
141123b5751168d
15717296c5a073
hex37d7fc0c9a7d

61400786180733 has 48 divisors (see below), whose sum is σ = 92461092796800. Its totient is φ = 40718017267200.

The previous prime is 61400786180711. The next prime is 61400786180779. The reversal of 61400786180733 is 33708168700416.

61400786180733 is a `hidden beast` number, since 6 + 1 + 400 + 78 + 61 + 80 + 7 + 33 = 666.

It is not a de Polignac number, because 61400786180733 - 210 = 61400786179709 is a prime.

It is a super-2 number, since 2×614007861807332 (a number of 28 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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61400786180733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61400786181733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34104433 + ... + 35859641.

It is an arithmetic number, because the mean of its divisors is an integer number (1926272766600).

Almost surely, 261400786180733 is an apocalyptic number.

It is an amenable number.

61400786180733 is a deficient number, since it is larger than the sum of its proper divisors (31060306616067).

61400786180733 is a wasteful number, since it uses less digits than its factorization.

61400786180733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755984 (or 1755972 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 61400786180733 in words is "sixty-one trillion, four hundred billion, seven hundred eighty-six million, one hundred eighty thousand, seven hundred thirty-three".

Divisors: 1 3 9 27 81 243 359 401 1077 1203 3231 3609 9693 10827 29079 32481 87237 97443 143959 431877 1295631 1755209 3886893 5265627 11660679 15796881 34982037 47390643 142171929 426515787 630120031 703838809 1890360093 2111516427 5671080279 6334549281 17013240837 19003647843 51039722511 57010943529 153119167533 171032830587 252678132431 758034397293 2274103191879 6822309575637 20466928726911 61400786180733