Search a number
-
+
32011115488 = 25111938312497
BaseRepresentation
bin11101110100000000…
…101101101111100000
310001121220120011011221
4131310000231233200
51011024321143423
622412233144424
72212156664212
oct356400555740
9101556504157
1032011115488
1112637492950
12625455b114
133031c31971
1417995985b2
15c75484e5d
hex77402dbe0

32011115488 has 96 divisors (see below), whose sum is σ = 72564387840. Its totient is φ = 13747599360.

The previous prime is 32011115453. The next prime is 32011115509. The reversal of 32011115488 is 88451111023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2555256 + ... + 2567752.

It is an arithmetic number, because the mean of its divisors is an integer number (755879040).

Almost surely, 232011115488 is an apocalyptic number.

32011115488 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32011115488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36282193920).

32011115488 is an abundant number, since it is smaller than the sum of its proper divisors (40553272352).

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

32011115488 is a wasteful number, since it uses less digits than its factorization.

32011115488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The spelling of 32011115488 in words is "thirty-two billion, eleven million, one hundred fifteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 383 418 608 766 836 1532 1672 3064 3344 4213 6128 6688 7277 8426 12256 12497 14554 16852 24994 29108 33704 49988 58216 67408 80047 99976 116432 134816 137467 160094 199952 232864 237443 274934 320188 399904 474886 549868 640376 949772 1099736 1280752 1899544 2199472 2561504 2611873 3799088 4398944 4786351 5223746 7598176 9572702 10447492 19145404 20894984 38290808 41789968 52649861 76581616 83579936 90940669 105299722 153163232 181881338 210599444 363762676 421198888 727525352 842397776 1000347359 1455050704 1684795552 2000694718 2910101408 4001389436 8002778872 16005557744 32011115488