Search a number
-
+
532041731956 = 227172117616961
BaseRepresentation
bin1111011111000000010…
…10001000111101110100
31212212021220101100022201
413233200022020331310
532204110140410311
61044225552434244
753303330050450
oct7574012107564
91785256340281
10532041731956
11195701761a09
1287143848984
133b22c50c197
141ba728ab660
15dc8db149c1
hex7be0288f74

532041731956 has 96 divisors (see below), whose sum is σ = 1133666682624. Its totient is φ = 213276672000.

The previous prime is 532041731927. The next prime is 532041731959. The reversal of 532041731956 is 659137140235.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532041731959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76428316 + ... + 76435276.

It is an arithmetic number, because the mean of its divisors is an integer number (11809027944).

Almost surely, 2532041731956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532041731956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566833341312).

532041731956 is an abundant number, since it is smaller than the sum of its proper divisors (601624950668).

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

532041731956 is a wasteful number, since it uses less digits than its factorization.

532041731956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 532041731956 in words is "five hundred thirty-two billion, forty-one million, seven hundred thirty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 68 119 211 238 422 476 761 844 1477 1522 2954 3044 3587 5327 5908 6961 7174 10654 12937 13922 14348 21308 25109 25874 27844 48727 50218 51748 90559 97454 100436 118337 160571 181118 194908 236674 321142 362236 473348 642284 828359 1123997 1468771 1656718 2247994 2729707 2937542 3313436 4495988 5297321 5459414 5875084 10281397 10594642 10918828 19107949 20562794 21189284 24969107 37081247 38215898 41125588 49938214 74162494 76431796 90054457 99876428 148324988 174783749 180108914 349567498 360217828 630381199 699134996 1117734731 1260762398 2235469462 2521524796 4470938924 7824143117 15648286234 19001490427 31296572468 38002980854 76005961708 133010432989 266020865978 532041731956