Search a number
-
+
45634024623072 = 2532916391531833
BaseRepresentation
bin10100110000000111111111…
…10100111100101111100000
312222120120101122020010112210
422120003333310330233200
521440131440300414242
6241015552000522120
712416643446141544
oct1230037764745740
9188516348203483
1045634024623072
11135a4310250026
12515021a620340
131c60368414492
14b3a9acc73a24
155420a43c0d9c
hex2980ffd3cbe0

45634024623072 has 48 divisors (see below), whose sum is σ = 123919980665040. Its totient is φ = 14686812521472.

The previous prime is 45634024623053. The next prime is 45634024623091. The reversal of 45634024623072 is 27032642043654.

It is an interprime number because it is at equal distance from previous prime (45634024623053) and next prime (45634024623091).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8195763133 + ... + 8195768700.

It is an arithmetic number, because the mean of its divisors is an integer number (2581666263855).

Almost surely, 245634024623072 is an apocalyptic number.

It is an amenable number.

45634024623072 is an abundant number, since it is smaller than the sum of its proper divisors (78285956041968).

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

45634024623072 is a wasteful number, since it uses less digits than its factorization.

45634024623072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16391531875 (or 16391531867 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 45634024623072 in words is "forty-five trillion, six hundred thirty-four billion, twenty-four million, six hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 16391531833 32783063666 49174595499 65566127332 98349190998 131132254664 196698381996 262264509328 393396763992 475354423157 524529018656 786793527984 950708846314 1426063269471 1573587055968 1901417692628 2852126538942 3802835385256 5704253077884 7605670770512 11408506155768 15211341541024 22817012311536 45634024623072