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66142315988931 = 3713372792240197
BaseRepresentation
bin11110000100111111101010…
…01111111100011111000011
322200012010212201120101011110
433002133311033330133003
532132133430343121211
6352401205511014403
716634424151412340
oct1702376517743703
9280163781511143
1066142315988931
111a09088705a436
1275029a796a403
132aba269552c10
14124943b5857c7
1579a7a7c3aea6
hex3c27f53fc7c3

66142315988931 has 96 divisors (see below), whose sum is σ = 112966195722240. Its totient is φ = 33515626120704.

The previous prime is 66142315988921. The next prime is 66142315988933. The reversal of 66142315988931 is 13988951324166.

It is not a de Polignac number, because 66142315988931 - 25 = 66142315988899 is a prime.

It is a super-2 number, since 2×661423159889312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66142315988933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28405125 + ... + 30645321.

It is an arithmetic number, because the mean of its divisors is an integer number (1176731205440).

Almost surely, 266142315988931 is an apocalyptic number.

66142315988931 is a deficient number, since it is larger than the sum of its proper divisors (46823879733309).

66142315988931 is a wasteful number, since it uses less digits than its factorization.

66142315988931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240373 (or 2240336 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 66.

The spelling of 66142315988931 in words is "sixty-six trillion, one hundred forty-two billion, three hundred fifteen million, nine hundred eighty-eight thousand, nine hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 79 91 111 237 259 273 481 553 777 1027 1369 1443 1659 2923 3081 3367 4107 7189 8769 9583 10101 17797 20461 21567 28749 37999 53391 61383 108151 113997 124579 265993 324453 373737 757057 797979 1405963 2240197 2271171 4217889 6720591 9841741 15681379 29122561 29525223 47044137 82887289 87367683 176975563 203857927 248661867 530926689 580211023 611573781 1077534757 1238828941 1740633069 2300682319 3066829693 3232604271 3716486823 6548095831 6902046957 7542743299 9200489079 16104776233 19644287493 21467807851 22628229897 39868786009 45836670817 48314328699 64403423553 85125245803 119606358027 137510012451 242279545747 255375737409 279081502063 595876720621 726838637241 837244506189 1695956820229 1787630161863 3149634094711 5087870460687 9448902284133 22047438662977 66142315988931