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66542679120 = 2435631143933
BaseRepresentation
bin111101111110010000…
…001011010001010000
320100202110210100020010
4331332100023101100
52042234411212440
650322544314520
74543663303641
oct757620132120
9210673710203
1066542679120
1126247675795
1210a91012a40
1363760a2158
1433137a76c8
151ae6d34580
hexf7e40b450

66542679120 has 80 divisors (see below), whose sum is σ = 206319687552. Its totient is φ = 17741498880.

The previous prime is 66542679113. The next prime is 66542679139. The reversal of 66542679120 is 2197624566.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66542679120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492674 + ... + 1536606.

Almost surely, 266542679120 is an apocalyptic number.

66542679120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66542679120 is an abundant number, since it is smaller than the sum of its proper divisors (139777008432).

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

66542679120 is a wasteful number, since it uses less digits than its factorization.

66542679120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50260 (or 50254 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 66542679120 in words is "sixty-six billion, five hundred forty-two million, six hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6311 12622 18933 25244 31555 37866 43933 50488 63110 75732 87866 94665 100976 126220 131799 151464 175732 189330 219665 252440 263598 302928 351464 378660 439330 504880 527196 658995 702928 757320 878660 1054392 1317990 1514640 1757320 2108784 2635980 3514640 5271960 10543920 277261163 554522326 831783489 1109044652 1386305815 1663566978 2218089304 2772611630 3327133956 4158917445 4436178608 5545223260 6654267912 8317834890 11090446520 13308535824 16635669780 22180893040 33271339560 66542679120