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32249382004 = 22743199281479
BaseRepresentation
bin11110000010001101…
…101000010001110100
310002020111220100101201
4132002031220101310
51012021320211004
622452024102244
72221112136610
oct360215502164
9102214810351
1032249382004
1112749a32024
126300304984
13306c3c6778
1417bd09c340
15c8b34c6a4
hex782368474

32249382004 has 96 divisors (see below), whose sum is σ = 66705408000. Its totient is φ = 13356161280.

The previous prime is 32249381981. The next prime is 32249382017. The reversal of 32249382004 is 40028394223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67326237 + ... + 67326715.

It is an arithmetic number, because the mean of its divisors is an integer number (694848000).

Almost surely, 232249382004 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 32249382004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33352704000).

32249382004 is an abundant number, since it is smaller than the sum of its proper divisors (34456025996).

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

32249382004 is a wasteful number, since it uses less digits than its factorization.

32249382004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 32249382004 in words is "thirty-two billion, two hundred forty-nine million, three hundred eighty-two thousand, four".

Divisors: 1 2 4 7 14 28 43 86 172 199 281 301 398 479 562 602 796 958 1124 1204 1393 1916 1967 2786 3353 3934 5572 6706 7868 8557 12083 13412 17114 20597 24166 34228 41194 48332 55919 59899 82388 84581 95321 111838 119798 134599 144179 169162 190642 223676 239596 269198 288358 338324 381284 391433 538396 576716 667247 782866 942193 1334494 1565732 1884386 2404517 2668988 3768772 4098803 4809034 5787757 8197606 9618068 11575514 16395212 16831619 23151028 26785201 28691621 33663238 40514299 53570402 57383242 67326476 81028598 107140804 114766484 162057196 187496407 374992814 749985628 1151763643 2303527286 4607054572 8062345501 16124691002 32249382004