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66463129395 = 3351329373109
BaseRepresentation
bin111101111001100000…
…101101111100110011
320100112221002210112000
4331321200231330303
52042104030120040
650311023305043
74542006164355
oct757140557463
9210487083460
1066463129395
1126206781913
1210a6a44b183
13636276ba00
143306dbb0d5
151aded6e130
hexf7982df33

66463129395 has 96 divisors (see below), whose sum is σ = 128122545600. Its totient is φ = 32674876416.

The previous prime is 66463129393. The next prime is 66463129409. The reversal of 66463129395 is 59392136466.

66463129395 is a `hidden beast` number, since 6 + 6 + 463 + 1 + 2 + 93 + 95 = 666.

It is not a de Polignac number, because 66463129395 - 21 = 66463129393 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66463129391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21376101 + ... + 21379209.

It is an arithmetic number, because the mean of its divisors is an integer number (1334609850).

Almost surely, 266463129395 is an apocalyptic number.

66463129395 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66463129395 is a deficient number, since it is larger than the sum of its proper divisors (61659416205).

66463129395 is a wasteful number, since it uses less digits than its factorization.

66463129395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4067 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 66463129395 in words is "sixty-six billion, four hundred sixty-three million, one hundred twenty-nine thousand, three hundred ninety-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 169 195 351 507 585 845 937 1521 1755 2535 2811 3109 4563 4685 7605 8433 9327 12181 14055 15545 22815 25299 27981 36543 40417 42165 46635 60905 83943 109629 121251 126495 139905 158353 182715 202085 328887 363753 419715 475059 525421 548145 606255 791765 1091259 1425177 1576263 1644435 1818765 2375295 2627105 2913133 4275531 4728789 5456295 7125885 7881315 8739399 14186367 14565665 21377655 23643945 26218197 37870729 43696995 70931835 78654591 113612187 131090985 189353645 340836561 393272955 492319477 568060935 1022509683 1476958431 1704182805 2461597385 4430875293 5112548415 7384792155 13292625879 22154376465 66463129395