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345680768691 = 34711091493701
BaseRepresentation
bin1010000011111000010…
…11011110111010110011
31020001021002100111220000
411001330023132322303
521130423234044231
6422445322321043
733655202024106
oct5017413367263
91201232314800
10345680768691
111236698669a5
1256bb3959183
132679caa785b
1412a33d8073d
158ed2c716e6
hex507c2deeb3

345680768691 has 80 divisors (see below), whose sum is σ = 532155096000. Its totient is φ = 223552224000.

The previous prime is 345680768677. The next prime is 345680768791. The reversal of 345680768691 is 196867086543.

345680768691 is a `hidden beast` number, since 3 + 4 + 568 + 0 + 7 + 6 + 8 + 69 + 1 = 666.

It is not a de Polignac number, because 345680768691 - 211 = 345680766643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345680768611) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93400141 + ... + 93403841.

It is an arithmetic number, because the mean of its divisors is an integer number (6651938700).

Almost surely, 2345680768691 is an apocalyptic number.

345680768691 is a deficient number, since it is larger than the sum of its proper divisors (186474327309).

345680768691 is a wasteful number, since it uses less digits than its factorization.

345680768691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 345680768691 in words is "three hundred forty-five billion, six hundred eighty million, seven hundred sixty-eight thousand, six hundred ninety-one".

Divisors: 1 3 9 27 71 81 109 149 213 327 447 639 981 1341 1917 2943 3701 4023 5751 7739 8829 10579 11103 12069 16241 23217 31737 33309 48723 69651 95211 99927 146169 208953 262771 285633 299781 403409 438507 551449 626859 788313 856899 1153111 1210227 1315521 1654347 2364939 3459333 3630681 4963041 7094817 10377999 10892043 14889123 21284451 28642039 31133997 32676129 39152879 44667369 60107941 85926117 93401991 117458637 180323823 257778351 352375911 540971469 773335053 1057127733 1622914407 2320005159 3171383199 4267663811 4868743221 12802991433 38408974299 115226922897 345680768691