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480072561380 = 225232773799941
BaseRepresentation
bin1101111110001101000…
…11011111001011100100
31200220011002012221111022
412333012203133023210
530331142033431010
61004313045030312
746453434304556
oct6770643371344
91626132187438
10480072561380
11175663499965
127905b3b5398
13363697ca789
14193428294d6
15c74b44bd55
hex6fc68df2e4

480072561380 has 96 divisors (see below), whose sum is σ = 1058675063040. Its totient is φ = 182515576320.

The previous prime is 480072561343. The next prime is 480072561413. The reversal of 480072561380 is 83165270084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48287210 + ... + 48297150.

It is an arithmetic number, because the mean of its divisors is an integer number (11027865240).

Almost surely, 2480072561380 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 480072561380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529337531520).

480072561380 is an abundant number, since it is smaller than the sum of its proper divisors (578602501660).

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

480072561380 is a wasteful number, since it uses less digits than its factorization.

480072561380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 480072561380 in words is "four hundred eighty billion, seventy-two million, five hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 277 379 460 554 758 1108 1385 1516 1895 2770 3790 5540 6371 7580 8717 9941 12742 17434 19882 25484 31855 34868 39764 43585 49705 63710 87170 99410 104983 127420 174340 198820 209966 228643 419932 457286 524915 914572 1049830 1143215 2099660 2286430 2414609 2753657 3767639 4572860 4829218 5507314 7535278 9658436 11014628 12073045 13768285 15070556 18838195 24146090 27536570 37676390 48292180 55073140 63334111 75352780 86655697 126668222 173311394 253336444 316670555 346622788 433278485 633341110 866556970 1043636003 1266682220 1733113940 2087272006 4174544012 5218180015 10436360030 20872720060 24003628069 48007256138 96014512276 120018140345 240036280690 480072561380