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42666610401147 = 34761113117137489
BaseRepresentation
bin10011011001110000110000…
…01010000001111101111011
312121001212222102211220011010
421230320120022001331323
521043022204230314042
6230424434211405003
711662363244342055
oct1154703012017573
9177055872756133
1042666610401147
111265a898289757
1249510a95b3763
131aa65a08b0185
14a771099a48d5
154decca7c759c
hex26ce18281f7b

42666610401147 has 64 divisors (see below), whose sum is σ = 59626706503680. Its totient is φ = 27116599910400.

The previous prime is 42666610401133. The next prime is 42666610401187. The reversal of 42666610401147 is 74110401666624.

42666610401147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42666610401147 - 210 = 42666610400123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42666610401096 and 42666610401105.

It is not an unprimeable number, because it can be changed into a prime (42666610401187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138091379 + ... + 1138128867.

It is an arithmetic number, because the mean of its divisors is an integer number (931667289120).

Almost surely, 242666610401147 is an apocalyptic number.

42666610401147 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

42666610401147 is a deficient number, since it is larger than the sum of its proper divisors (16960096102533).

42666610401147 is a wasteful number, since it uses less digits than its factorization.

42666610401147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38884.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 42666610401147 in words is "forty-two trillion, six hundred sixty-six billion, six hundred ten million, four hundred one thousand, one hundred forty-seven".

Divisors: 1 3 47 61 113 141 183 339 1171 2867 3513 5311 6893 8601 15933 20679 37489 55037 71431 112467 132323 165111 214293 323971 396969 971913 1761983 2286829 3357257 4236257 5285949 6219181 6860487 8071703 10071771 12708771 18657543 24215109 43899619 107480963 131698857 199104079 258411677 322442889 379370041 597312237 775235031 1138110123 2063282093 2677876759 4960656947 6189846279 8033630277 12145348819 14881970841 36436046457 125860207673 233150876509 302600073767 377580623019 699452629527 907800221301 14222203467049 42666610401147