Search a number
-
+
7842745152045 = 3251271372308863
BaseRepresentation
bin111001000100000100000…
…0010011111001000101101
31000202202111101122102112100
41302020020002133020231
52011443420224331140
624402523554525313
71436422351602606
oct162101002371055
930682441572470
107842745152045
1125540a91a6481
12a67b87596839
1344b74c2bc87b
141d183b592dad
15d901b4cb530
hex7220809f22d

7842745152045 has 24 divisors (see below), whose sum is σ = 13701131698176. Its totient is φ = 4149861998688.

The previous prime is 7842745152041. The next prime is 7842745152059. The reversal of 7842745152045 is 5402515472487.

7842745152045 is a `hidden beast` number, since 7 + 8 + 4 + 2 + 74 + 5 + 1 + 520 + 45 = 666.

It is not a de Polignac number, because 7842745152045 - 22 = 7842745152041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7842745151982 and 7842745152000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842745152041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686148717 + ... + 686160146.

It is an arithmetic number, because the mean of its divisors is an integer number (570880487424).

Almost surely, 27842745152045 is an apocalyptic number.

It is an amenable number.

7842745152045 is a deficient number, since it is larger than the sum of its proper divisors (5858386546131).

7842745152045 is a wasteful number, since it uses less digits than its factorization.

7842745152045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372309001 (or 1372308998 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 54.

The spelling of 7842745152045 in words is "seven trillion, eight hundred forty-two billion, seven hundred forty-five million, one hundred fifty-two thousand, forty-five".

Divisors: 1 3 5 9 15 45 127 381 635 1143 1905 5715 1372308863 4116926589 6861544315 12350779767 20584632945 61753898835 174283225601 522849676803 871416128005 1568549030409 2614248384015 7842745152045