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46412739345 = 3571927611609
BaseRepresentation
bin101011001110011010…
…100011001100010001
311102210120202110010010
4223032122203030101
51230023130124340
633153254025133
73232102526610
oct531632431421
9142716673103
1046412739345
1118757866025
128bb36481a9
1344b880029b
142364139877
15131999cb80
hexace6a3311

46412739345 has 96 divisors (see below), whose sum is σ = 89744336640. Its totient is φ = 20061665280.

The previous prime is 46412739343. The next prime is 46412739349. The reversal of 46412739345 is 54393721464.

It is a happy number.

It is not a de Polignac number, because 46412739345 - 21 = 46412739343 is a prime.

It is a super-2 number, since 2×464127393452 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46412739294 and 46412739303.

It is not an unprimeable number, because it can be changed into a prime (46412739343) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 28844901 + ... + 28846509.

It is an arithmetic number, because the mean of its divisors is an integer number (934836840).

Almost surely, 246412739345 is an apocalyptic number.

It is an amenable number.

46412739345 is a deficient number, since it is larger than the sum of its proper divisors (43331597295).

46412739345 is a wasteful number, since it uses less digits than its factorization.

46412739345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2404 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The spelling of 46412739345 in words is "forty-six billion, four hundred twelve million, seven hundred thirty-nine thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 133 285 361 399 665 761 1083 1609 1805 1995 2283 2527 3805 4827 5327 5415 7581 8045 11263 11415 12635 14459 15981 24135 26635 30571 33789 37905 43377 56315 72295 79905 91713 101213 152855 168945 213997 216885 274721 303639 458565 506065 580849 641991 824163 1069985 1224449 1373605 1518195 1742547 1923047 2904245 3209955 3673347 4065943 4120815 5769141 6122245 8571143 8712735 9615235 12197829 18366735 20329715 23264531 25713429 28845705 42855715 60989145 69793593 116322655 128567145 162851717 348967965 442026089 488555151 814258585 1326078267 2210130445 2442775755 3094182623 6630391335 9282547869 15470913115 46412739345