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64212294480 = 2435347839919
BaseRepresentation
bin111011110011010110…
…011101101101010000
320010202001202112110220
4323303112131231100
52023001321410410
645255420153040
74432145332425
oct736326355520
9203661675426
1064212294480
1125261191274
1210540698780
13609434bc29
1431720a9d4c
151a0c460070
hexef359db50

64212294480 has 160 divisors (see below), whose sum is σ = 200087193600. Its totient is φ = 17035024896.

The previous prime is 64212294473. The next prime is 64212294511. The reversal of 64212294480 is 8449221246.

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, 69871461 + ... + 69872379.

It is an arithmetic number, because the mean of its divisors is an integer number (1250544960).

Almost surely, 264212294480 is an apocalyptic number.

64212294480 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 64212294480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100043596800).

64212294480 is an abundant number, since it is smaller than the sum of its proper divisors (135874899120).

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

64212294480 is a wasteful number, since it uses less digits than its factorization.

64212294480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 64212294480 in words is "sixty-four billion, two hundred twelve million, two hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 694 839 919 1041 1388 1678 1735 1838 2082 2517 2757 2776 3356 3470 3676 4164 4195 4595 5034 5205 5514 5552 6712 6940 7352 8328 8390 9190 10068 10410 11028 12585 13424 13785 13880 14704 16656 16780 18380 20136 20820 22056 25170 27570 27760 33560 36760 40272 41640 44112 50340 55140 67120 73520 83280 100680 110280 201360 220560 291133 318893 582266 637786 771041 873399 956679 1164532 1275572 1455665 1542082 1594465 1746798 1913358 2313123 2329064 2551144 2911330 3084164 3188930 3493596 3826716 3855205 4366995 4626246 4658128 4783395 5102288 5822660 6168328 6377860 6987192 7653432 7710410 8733990 9252492 9566790 11565615 11645320 12336656 12755720 13974384 15306864 15420820 17467980 18504984 19133580 23131230 23290640 25511440 30841640 34935960 37009968 38267160 46262460 61683280 69871920 76534320 92524920 185049840 267551227 535102454 802653681 1070204908 1337756135 1605307362 2140409816 2675512270 3210614724 4013268405 4280819632 5351024540 6421229448 8026536810 10702049080 12842458896 16053073620 21404098160 32106147240 64212294480