Search a number
-
+
37457109045 = 3455921632
BaseRepresentation
bin100010111000100111…
…100010000000110101
310120200110011021220000
4202320213202000311
51103203004442140
625112455501513
72464136113356
oct427047420065
9116613137800
1037457109045
111498161a474
127314387899
1336bc2b6765
141b54993d2d
15e93637a30
hex8b89e2035

37457109045 has 90 divisors (see below), whose sum is σ = 68724287478. Its totient is φ = 19518047712.

The previous prime is 37457109007. The next prime is 37457109073. The reversal of 37457109045 is 54090175473.

37457109045 is a `hidden beast` number, since 3 + 74 + 571 + 0 + 9 + 0 + 4 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29965687236 + 7491421809 = 173106^2 + 86553^2 .

It is not a de Polignac number, because 37457109045 - 27 = 37457108917 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 229798134 + ... + 229798296.

Almost surely, 237457109045 is an apocalyptic number.

It is an amenable number.

37457109045 is a deficient number, since it is larger than the sum of its proper divisors (31267178433).

37457109045 is an frugal number, since it uses more digits than its factorization.

37457109045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

Multiplying 37457109045 by its sum of digits (45), we get a square (1685569907025 = 12982952).

37457109045 divided by its sum of digits (45) gives a square (832380201 = 288512).

The spelling of 37457109045 in words is "thirty-seven billion, four hundred fifty-seven million, one hundred nine thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 59 81 135 163 177 295 405 489 531 815 885 1467 1593 2445 2655 3481 4401 4779 7335 7965 9617 10443 13203 17405 22005 23895 26569 28851 31329 48085 52215 66015 79707 86553 93987 132845 144255 156645 239121 259659 281961 398535 432765 469935 567403 717363 778977 1195605 1298295 1409805 1567571 1702209 2152089 2837015 3586815 3894885 4702713 5106627 7837855 8511045 10760445 14108139 15319881 23513565 25533135 42324417 45959643 70540695 76599405 92486689 126973251 211622085 229798215 277460067 462433445 634866255 832380201 1387300335 2497140603 4161901005 7491421809 12485703015 37457109045