Search a number
-
+
86673631440 = 24351132830921
BaseRepresentation
bin101000010111000100…
…1101010100011010000
322021201102201200021210
41100232021222203100
52410001422201230
6103452312420120
76155565466014
oct1205611524320
9267642650253
1086673631440
1133838007170
121496a9a7640
138233939b66
1442a321a544
1523c431aeb0
hex142e26a8d0

86673631440 has 80 divisors (see below), whose sum is σ = 293114471616. Its totient is φ = 21011788800.

The previous prime is 86673631397. The next prime is 86673631469. The reversal of 86673631440 is 4413637668.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86673631440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16412821 + ... + 16418100.

Almost surely, 286673631440 is an apocalyptic number.

86673631440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86673631440 is an abundant number, since it is smaller than the sum of its proper divisors (206440840176).

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

86673631440 is a wasteful number, since it uses less digits than its factorization.

86673631440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32830948 (or 32830942 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 86673631440 in words is "eighty-six billion, six hundred seventy-three million, six hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 32830921 65661842 98492763 131323684 164154605 196985526 262647368 328309210 361140131 393971052 492463815 525294736 656618420 722280262 787942104 984927630 1083420393 1313236840 1444560524 1575884208 1805700655 1969855260 2166840786 2626473680 2889121048 3611401310 3939710520 4333681572 5417101965 5778242096 7222802620 7879421040 8667363144 10834203930 14445605240 17334726288 21668407860 28891210480 43336815720 86673631440