Search a number
-
+
45955581940 = 22523107933677
BaseRepresentation
bin101010110011001010…
…101000011111110100
311101121201112110001101
4222303022220133310
51223104112110230
633040043335444
73214552000312
oct526312503764
9141551473041
1045955581940
1118542800994
128aa6521584
134444b98848
14231d5370b2
1512de798aca
hexab32a87f4

45955581940 has 48 divisors (see below), whose sum is σ = 101643921792. Its totient is φ = 17418659456.

The previous prime is 45955581863. The next prime is 45955581949. The reversal of 45955581940 is 4918555954.

It is a super-2 number, since 2×459555819402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45955581949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417619 + ... + 516058.

It is an arithmetic number, because the mean of its divisors is an integer number (2117581704).

Almost surely, 245955581940 is an apocalyptic number.

It is an amenable number.

45955581940 is an abundant number, since it is smaller than the sum of its proper divisors (55688339852).

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

45955581940 is a wasteful number, since it uses less digits than its factorization.

45955581940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933816 (or 933814 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 55.

The spelling of 45955581940 in words is "forty-five billion, nine hundred fifty-five million, five hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 107 115 214 230 428 460 535 1070 2140 2461 4922 9844 12305 24610 49220 933677 1867354 3734708 4668385 9336770 18673540 21474571 42949142 85898284 99903439 107372855 199806878 214745710 399613756 429491420 499517195 999034390 1998068780 2297779097 4595558194 9191116388 11488895485 22977790970 45955581940