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32466000380 = 225111495211901
BaseRepresentation
bin11110001111000111…
…111101100111111100
310002210121111200221112
4132033013331213330
51012442244003010
622525323021152
72226352310222
oct361707754774
9102717450845
1032466000380
1112850235680
12636096a7b8
1330a524bc18
1417ddb68b12
15ca038aa05
hex78f1fd9fc

32466000380 has 96 divisors (see below), whose sum is σ = 75059006400. Its totient is φ = 11697920000.

The previous prime is 32466000379. The next prime is 32466000389. The reversal of 32466000380 is 8300066423.

It is a super-4 number, since 4×324660003804 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32466000389) 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, 17077430 + ... + 17079330.

It is an arithmetic number, because the mean of its divisors is an integer number (781864650).

Almost surely, 232466000380 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 32466000380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37529503200).

32466000380 is an abundant number, since it is smaller than the sum of its proper divisors (42593006020).

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

32466000380 is a wasteful number, since it uses less digits than its factorization.

32466000380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 32466000380 in words is "thirty-two billion, four hundred sixty-six million, three hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 521 596 745 1042 1490 1639 1901 2084 2605 2980 3278 3802 5210 5731 6556 7604 8195 9505 10420 11462 16390 19010 20911 22924 28655 32780 38020 41822 57310 77629 83644 104555 114620 155258 209110 283249 310516 388145 418220 566498 776290 853919 990421 1132996 1416245 1552580 1707838 1980842 2832490 3115739 3415676 3961684 4269595 4952105 5664980 6231478 8539190 9904210 10894631 12462956 15578695 17078380 19808420 21789262 31157390 43578524 54473155 62314780 108946310 147572729 217892620 295145458 590290916 737863645 1475727290 1623300019 2951454580 3246600038 6493200076 8116500095 16233000190 32466000380