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342713217627 = 321119928361469
BaseRepresentation
bin1001111110010110100…
…11001011001001011011
31012202121021101022010100
410333023103023021123
521103334040431002
6421235033350443
733521516166534
oct4771323131133
91182537338110
10342713217627
11122386749960
1256505b68423
1326419044b91
1412831bc368b
158dac48c11c
hex4fcb4cb25b

342713217627 has 48 divisors (see below), whose sum is σ = 544673376000. Its totient is φ = 205927634880.

The previous prime is 342713217533. The next prime is 342713217631. The reversal of 342713217627 is 726712317243.

342713217627 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 1 + 3 + 2 + 17 + 627 = 666.

It is not a de Polignac number, because 342713217627 - 234 = 325533348443 is a prime.

It is a super-2 number, since 2×3427132176272 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342713210627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5544649 + ... + 5606117.

It is an arithmetic number, because the mean of its divisors is an integer number (11347362000).

Almost surely, 2342713217627 is an apocalyptic number.

342713217627 is a deficient number, since it is larger than the sum of its proper divisors (201960158373).

342713217627 is a wasteful number, since it uses less digits than its factorization.

342713217627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61968 (or 61965 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The spelling of 342713217627 in words is "three hundred forty-two billion, seven hundred thirteen million, two hundred seventeen thousand, six hundred twenty-seven".

Divisors: 1 3 9 11 33 99 199 283 597 849 1791 2189 2547 3113 6567 9339 19701 28017 56317 61469 168951 184407 506853 553221 619487 676159 1858461 2028477 5575383 6085431 12232331 17395727 36696993 52187181 110090979 134555641 156561543 191352997 403666923 574058991 1211000769 1722176973 3461749673 10385249019 31155747057 38079246403 114237739209 342713217627