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426401760345 = 351131723711519
BaseRepresentation
bin1100011010001111000…
…01101000010001011001
31111202121200010202111120
412031013201220101121
523441232322312340
6523515233315453
742543430106151
oct6150741502131
91452550122446
10426401760345
1115492174a750
126a781105b89
13312953bb642
14168d0799761
15b1596ac4d0
hex6347868459

426401760345 has 64 divisors (see below), whose sum is σ = 768446300160. Its totient is φ = 200026195200.

The previous prime is 426401760341. The next prime is 426401760353. The reversal of 426401760345 is 543067104624.

It is a happy number.

It is not a de Polignac number, because 426401760345 - 22 = 426401760341 is a prime.

It is a super-2 number, since 2×4264017603452 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 426401760297 and 426401760306.

It is not an unprimeable number, because it can be changed into a prime (426401760341) 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 63 ways as a sum of consecutive naturals, for example, 37011496 + ... + 37023014.

It is an arithmetic number, because the mean of its divisors is an integer number (12006973440).

Almost surely, 2426401760345 is an apocalyptic number.

It is an amenable number.

426401760345 is a deficient number, since it is larger than the sum of its proper divisors (342044539815).

426401760345 is a wasteful number, since it uses less digits than its factorization.

426401760345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18806.

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 426401760345 its reverse (543067104624), we get a palindrome (969468864969).

The spelling of 426401760345 in words is "four hundred twenty-six billion, four hundred one million, seven hundred sixty thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 5115 7237 11519 21711 34557 36185 57595 79607 108555 126709 172785 224347 238821 357089 380127 398035 633545 673041 1071267 1121735 1194105 1785445 1900635 2467817 3365205 3927979 5356335 7403451 11783937 12339085 19639895 37017255 58919685 83363003 250089009 416815015 916993033 1250445045 2584253093 2750979099 4584965165 7752759279 12921265465 13754895495 28426784023 38763796395 85280352069 142133920115 426401760345