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66518480 = 2457271239
BaseRepresentation
bin1111110110111…
…1110111010000
311122011111012102
43331233313100
5114012042410
610333415532
71435253300
oct375576720
9148144172
1066518480
1134603356
121a33a5a8
1310a1cc62
148b97600
155c8e2a5
hex3f6fdd0

66518480 has 120 divisors (see below), whose sum is σ = 183202560. Its totient is φ = 22391040.

The previous prime is 66518453. The next prime is 66518497. The reversal of 66518480 is 8481566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278201 + ... + 278439.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 266518480 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 66518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280).

66518480 is an abundant number, since it is smaller than the sum of its proper divisors (116684080).

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

66518480 is a wasteful number, since it uses less digits than its factorization.

66518480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 66518480 is about 8155.8862179410. The cubic root of 66518480 is about 405.1794764150.

The spelling of 66518480 in words is "sixty-six million, five hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 71 80 98 112 140 142 196 239 245 280 284 355 392 478 490 497 560 568 710 784 956 980 994 1136 1195 1420 1673 1912 1960 1988 2390 2485 2840 3346 3479 3824 3920 3976 4780 4970 5680 6692 6958 7952 8365 9560 9940 11711 13384 13916 16730 16969 17395 19120 19880 23422 26768 27832 33460 33938 34790 39760 46844 55664 58555 66920 67876 69580 84845 93688 117110 118783 133840 135752 139160 169690 187376 234220 237566 271504 278320 339380 468440 475132 593915 678760 831481 936880 950264 1187830 1357520 1662962 1900528 2375660 3325924 4157405 4751320 6651848 8314810 9502640 13303696 16629620 33259240 66518480