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66463520130 = 23257231914723
BaseRepresentation
bin111101111001100010…
…001101010110000010
320100112221211122111200
4331321202031112002
52042104130121010
650311035522030
74542012412500
oct757142152602
9210487748450
1066463520130
1126206a19437
1210a6a5b9316
136362877807
14330707d670
151adede9cc0
hexf7988d582

66463520130 has 144 divisors (see below), whose sum is σ = 201123808704. Its totient is φ = 15183685440.

The previous prime is 66463520117. The next prime is 66463520131. The reversal of 66463520130 is 3102536466.

66463520130 is a `hidden beast` number, since 6 + 6 + 4 + 635 + 2 + 0 + 13 + 0 = 666.

66463520130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66463520131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14069949 + ... + 14074671.

It is an arithmetic number, because the mean of its divisors is an integer number (1396693116).

Almost surely, 266463520130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66463520130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100561904352).

66463520130 is an abundant number, since it is smaller than the sum of its proper divisors (134660288574).

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

66463520130 is a wasteful number, since it uses less digits than its factorization.

66463520130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7941 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 66463520130 in words is "sixty-six billion, four hundred sixty-three million, five hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 3191 4410 4723 6382 9446 9573 14169 15955 19146 22337 23615 28338 28719 31910 33061 42507 44674 47230 47865 57438 66122 67011 70845 85014 95730 99183 111685 134022 141690 143595 156359 165305 198366 201033 212535 223370 231427 287190 297549 312718 330610 335055 402066 425070 462854 469077 495915 595098 670110 694281 781795 938154 991830 1005165 1157135 1388562 1407231 1487745 1563590 2010330 2082843 2314270 2345385 2814462 2975490 3471405 4165686 4690770 6942810 7036155 10414215 14072310 15071093 20828430 30142186 45213279 75355465 90426558 105497651 135639837 150710930 210995302 226066395 271279674 316492953 452132790 527488255 632985906 678199185 738483557 949478859 1054976510 1356398370 1476967114 1582464765 1898957718 2215450671 3164929530 3692417785 4430901342 4747394295 6646352013 7384835570 9494788590 11077253355 13292704026 22154506710 33231760065 66463520130