Search a number
-
+
37247070025 = 52116292
BaseRepresentation
bin100010101100000110…
…010010111101001001
310120010210221012112001
4202230012102331021
51102240222220100
625035553551001
72456005604614
oct425406227511
9116123835461
1037247070025
1114884000000
127275b75461
133687925c09
141b34b1b17b
15e7ee98d6a
hex8ac192f49

37247070025 has 63 divisors (see below), whose sum is σ = 52617307717. Its totient is φ = 26154682400.

The previous prime is 37247070013. The next prime is 37247070097. The reversal of 37247070025 is 52007074273.

The square root of 37247070025 is 192995.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 511981129 + 36735088896 = 22627^2 + 191664^2 .

It is not a de Polignac number, because 37247070025 - 221 = 37244972873 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1284381711 + ... + 1284381739.

Almost surely, 237247070025 is an apocalyptic number.

37247070025 is the 192995-th square number.

37247070025 is the 96498-th centered octagonal number.

It is an amenable number.

37247070025 is a deficient number, since it is larger than the sum of its proper divisors (15370237692).

37247070025 is an frugal number, since it uses more digits than its factorization.

37247070025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 37.

The spelling of 37247070025 in words is "thirty-seven billion, two hundred forty-seven million, seventy thousand, twenty-five".

Divisors: 1 5 11 25 29 55 121 145 275 319 605 725 841 1331 1595 3025 3509 4205 6655 7975 9251 14641 17545 21025 33275 38599 46255 73205 87725 101761 161051 192995 231275 366025 424589 508805 805255 964975 1119371 1771561 2122945 2544025 4026275 4670479 5596855 8857805 10614725 12313081 23352395 27984275 44289025 51375269 61565405 116761975 135443891 256876345 307827025 677219455 1284381725 1489882801 3386097275 7449414005 37247070025