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64916889480 = 23345101198377
BaseRepresentation
bin111100011101010110…
…010001111110001000
320012120011120200010000
4330131112101332020
52030422210430410
645453350123000
74455462312312
oct743526217610
9205504520100
1064916889480
1125592989993
12106b8650460
136177309951
1431db8bc7b2
151a4e23ddc0
hexf1d591f88

64916889480 has 160 divisors (see below), whose sum is σ = 220354314840. Its totient is φ = 17139686400.

The previous prime is 64916889461. The next prime is 64916889487. The reversal of 64916889480 is 8498861946.

64916889480 is a `hidden beast` number, since 6 + 4 + 91 + 68 + 8 + 9 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64899600516 + 17288964 = 254754^2 + 4158^2 .

It is not an unprimeable number, because it can be changed into a prime (64916889487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 228052 + ... + 426428.

Almost surely, 264916889480 is an apocalyptic number.

64916889480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64916889480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110177157420).

64916889480 is an abundant number, since it is smaller than the sum of its proper divisors (155437425360).

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

64916889480 is a wasteful number, since it uses less digits than its factorization.

64916889480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198501 (or 198488 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 64916889480 in words is "sixty-four billion, nine hundred sixteen million, eight hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 101 108 120 135 162 180 202 216 270 303 324 360 404 405 505 540 606 648 808 810 909 1010 1080 1212 1515 1620 1818 2020 2424 2727 3030 3240 3636 4040 4545 5454 6060 7272 8181 9090 10908 12120 13635 16362 18180 21816 27270 32724 36360 40905 54540 65448 81810 109080 163620 198377 327240 396754 595131 793508 991885 1190262 1587016 1785393 1983770 2380524 2975655 3570786 3967540 4761048 5356179 5951310 7141572 7935080 8926965 10712358 11902620 14283144 16068537 17853930 20036077 21424716 23805240 26780895 32137074 35707860 40072154 42849432 53561790 60108231 64274148 71415720 80144308 80342685 100180385 107123580 120216462 128548296 160288616 160685370 180324693 200360770 214247160 240432924 300541155 321370740 360649386 400721540 480865848 540974079 601082310 642741480 721298772 801443080 901623465 1081948158 1202164620 1442597544 1622922237 1803246930 2163896316 2404329240 2704870395 3245844474 3606493860 4327792632 5409740790 6491688948 7212987720 8114611185 10819481580 12983377896 16229222370 21638963160 32458444740 64916889480