Search a number
-
+
32421727072 = 2571719448111
BaseRepresentation
bin11110001100011111…
…000100101101100000
310002200112012101101101
4132030133010231200
51012344430231242
622521102044144
72225304063430
oct361437045540
9102615171341
1032421727072
1112828246469
126349b79654
13309901a2b7
1417d7d222c0
15c9b5429b7
hex78c7c4b60

32421727072 has 96 divisors (see below), whose sum is σ = 81305441280. Its totient is φ = 12389345280.

The previous prime is 32421727069. The next prime is 32421727097. The reversal of 32421727072 is 27072712423.

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, 151704 + ... + 296407.

It is an arithmetic number, because the mean of its divisors is an integer number (846931680).

Almost surely, 232421727072 is an apocalyptic number.

32421727072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32421727072 is an abundant number, since it is smaller than the sum of its proper divisors (48883714208).

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

32421727072 is a wasteful number, since it uses less digits than its factorization.

32421727072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448164 (or 448156 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The spelling of 32421727072 in words is "thirty-two billion, four hundred twenty-one million, seven hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 304 323 476 532 544 608 646 952 1064 1292 1904 2128 2261 2584 3808 4256 4522 5168 9044 10336 18088 36176 72352 448111 896222 1792444 3136777 3584888 6273554 7169776 7617887 8514109 12547108 14339552 15235774 17028218 25094216 30471548 34056436 50188432 53325209 59598763 60943096 68112872 100376864 106650418 119197526 121886192 136225744 144739853 213300836 238395052 243772384 272451488 289479706 426601672 476790104 578959412 853203344 953580208 1013178971 1157918824 1706406688 1907160416 2026357942 2315837648 4052715884 4631675296 8105431768 16210863536 32421727072