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76066986480 = 24355310159209
BaseRepresentation
bin100011011010111110…
…0100001100111110000
321021100020110021201120
41012311330201213300
52221241122031410
654540015302240
75332003500612
oct1066574414760
9237306407646
1076066986480
112a294915891
12128aa81a980
137233368394
1439786a0db2
151ea307b570
hex11b5f219f0

76066986480 has 160 divisors (see below), whose sum is σ = 242639737920. Its totient is φ = 19704422400.

The previous prime is 76066986407. The next prime is 76066986551. The reversal of 76066986480 is 8468966067.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1255116 + ... + 1314324.

It is an arithmetic number, because the mean of its divisors is an integer number (1516498362).

Almost surely, 276066986480 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 76066986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121319868960).

76066986480 is an abundant number, since it is smaller than the sum of its proper divisors (166572751440).

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

76066986480 is a wasteful number, since it uses less digits than its factorization.

76066986480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59379 (or 59373 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 76066986480 in words is "seventy-six billion, sixty-six million, nine hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 101 106 120 159 202 212 240 265 303 318 404 424 505 530 606 636 795 808 848 1010 1060 1212 1272 1515 1590 1616 2020 2120 2424 2544 3030 3180 4040 4240 4848 5353 6060 6360 8080 10706 12120 12720 16059 21412 24240 26765 32118 42824 53530 59209 64236 80295 85648 107060 118418 128472 160590 177627 214120 236836 256944 296045 321180 355254 428240 473672 592090 642360 710508 888135 947344 1184180 1284720 1421016 1776270 2368360 2842032 3138077 3552540 4736720 5980109 6276154 7105080 9414231 11960218 12552308 14210160 15690385 17940327 18828462 23920436 25104616 29900545 31380770 35880654 37656924 47071155 47840872 50209232 59801090 62761540 71761308 75313848 89701635 94142310 95681744 119602180 125523080 143522616 150627696 179403270 188284620 239204360 251046160 287045232 316945777 358806540 376569240 478408720 633891554 717613080 753138480 950837331 1267783108 1435226160 1584728885 1901674662 2535566216 3169457770 3803349324 4754186655 5071132432 6338915540 7606698648 9508373310 12677831080 15213397296 19016746620 25355662160 38033493240 76066986480