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74816531619025 = 5272192130072
BaseRepresentation
bin10001000000101110010100…
…110010100101110011010001
3100210220101112201121110201111
4101000232110302211303101
534301243224043302100
6423042123511533321
721521213253626200
oct2100562462456321
9323811481543644
1074816531619025
11219255706aa549
128483b4108a241
13329922670aca1
1414691d4925237
1589b23a29a6ba
hex440b94ca5cd1

74816531619025 has 81 divisors (see below), whose sum is σ = 113906680638939. Its totient is φ = 48598882385760.

The previous prime is 74816531619017. The next prime is 74816531619079. The reversal of 74816531619025 is 52091613561847.

The square root of 74816531619025 is 8649655.

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

It can be written as a sum of positive squares in only one way, i.e., 26933951382849 + 47882580236176 = 5189793^2 + 6919724^2 .

It is not a de Polignac number, because 74816531619025 - 23 = 74816531619017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5752014072 + ... + 5752027078.

It is a 1-persistent number, because it is pandigital, but 2⋅74816531619025 = 149633063238050 is not.

Almost surely, 274816531619025 is an apocalyptic number.

74816531619025 is the 8649655-th square number.

74816531619025 is the 4324828-th centered octagonal number.

It is an amenable number.

74816531619025 is a deficient number, since it is larger than the sum of its proper divisors (39090149019914).

74816531619025 is an frugal number, since it uses more digits than its factorization.

74816531619025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26076 (or 13038 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 74816531619025 in words is "seventy-four trillion, eight hundred sixteen billion, five hundred thirty-one million, six hundred nineteen thousand, twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 361 475 665 931 1225 1805 2527 3325 4655 9025 12635 13007 17689 23275 63175 65035 88445 91049 247133 325175 442225 455245 637343 1235665 1729931 2276225 3186715 4695527 6178325 8649655 12109517 15933575 23477635 32868689 43248275 60547585 117388175 164343445 169182049 230080823 302737925 821717225 845910245 1150404115 1184274343 3214458931 4229551225 5752020575 5921371715 8289920401 16072294655 22501212517 29606858575 41449602005 61074719689 80361473275 112506062585 157508487619 207248010025 305373598445 427523037823 562530312925 787542438095 1526867992225 2137615189115 2992661264761 3937712190475 10688075945575 14963306323805 74816531619025