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42764918407 = 3147127239967
BaseRepresentation
bin100111110100111111…
…001101111010000111
311002101100201221111221
4213310333031322013
51200040304342112
631351304341211
73042516544261
oct476477157207
9132340657457
1042764918407
1117155755182
128355a74807
134056b48863
1420d989cb31
1511a45e1e07
hex9f4fcde87

42764918407 has 32 divisors (see below), whose sum is σ = 45675970560. Its totient is φ = 39976403040.

The previous prime is 42764918377. The next prime is 42764918419. The reversal of 42764918407 is 70481946724.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42764918407 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42768918407) 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 31 ways as a sum of consecutive naturals, for example, 44223838 + ... + 44224804.

It is an arithmetic number, because the mean of its divisors is an integer number (1427374080).

Almost surely, 242764918407 is an apocalyptic number.

42764918407 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

42764918407 is a deficient number, since it is larger than the sum of its proper divisors (2911052153).

42764918407 is a wasteful number, since it uses less digits than its factorization.

42764918407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411.

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 42764918407 in words is "forty-two billion, seven hundred sixty-four million, nine hundred eighteen thousand, four hundred seven".

Divisors: 1 31 47 127 239 967 1457 3937 5969 7409 11233 29977 30353 45449 122809 185039 231113 348223 940943 1408919 1426591 3807079 5772023 7164503 10862311 29351351 44224321 178932713 336731641 909891881 1379513497 42764918407