Search a number
-
+
272507107121632 = 2543646930614153
BaseRepresentation
bin111101111101100000000001…
…010100011001100111100000
31022201212102110211121120121201
4331331200001110121213200
5241204224023410343012
62403324011535330544
7111253663103020435
oct7575400124314740
91281772424546551
10272507107121632
11799136847a7399
1226691852980a54
13b909404c18b16
144b415b3001b8c
1521788065be857
hexf7d8015199e0

272507107121632 has 48 divisors (see below), whose sum is σ = 549059953725360. Its totient is φ = 133064289211392.

The previous prime is 272507107121597. The next prime is 272507107121651. The reversal of 272507107121632 is 236121701705272.

It is a happy number.

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, 6405733 + ... + 24208420.

It is an arithmetic number, because the mean of its divisors is an integer number (11438749035945).

Almost surely, 2272507107121632 is an apocalyptic number.

It is an amenable number.

272507107121632 is an abundant number, since it is smaller than the sum of its proper divisors (276552846603728).

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

272507107121632 is a wasteful number, since it uses less digits than its factorization.

272507107121632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30620675 (or 30620667 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 272507107121632 in words is "two hundred seventy-two trillion, five hundred seven billion, one hundred seven million, one hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 6469 12938 25876 51752 103504 207008 278167 556334 1112668 2225336 4450672 8901344 30614153 61228306 122456612 244913224 489826448 979652896 1316408579 2632817158 5265634316 10531268632 21062537264 42125074528 198042955757 396085911514 792171823028 1584343646056 3168687292112 6337374584224 8515847097551 17031694195102 34063388390204 68126776780408 136253553560816 272507107121632