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6940496745 = 35571362773
BaseRepresentation
bin1100111011010111…
…11001001101101001
3122220200202202200000
412131223321031221
5103203231343440
63104410533213
7333664151250
oct63553711551
918820682600
106940496745
112a41802a26
121418437209
13867ba1110
1449baab797
152a94b3730
hex19daf9369

6940496745 has 96 divisors (see below), whose sum is σ = 15355022592. Its totient is φ = 2928690432.

The previous prime is 6940496713. The next prime is 6940496777. The reversal of 6940496745 is 5476940496.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6940496713) and next prime (6940496777).

It is not a de Polignac number, because 6940496745 - 25 = 6940496713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6940496691 and 6940496700.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79179 + ... + 141951.

It is an arithmetic number, because the mean of its divisors is an integer number (159948152).

Almost surely, 26940496745 is an apocalyptic number.

6940496745 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6940496745 is an abundant number, since it is smaller than the sum of its proper divisors (8414525847).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6940496745 is a wasteful number, since it uses less digits than its factorization.

6940496745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62813 (or 62801 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6940496745 is about 83309.6437694941. The cubic root of 6940496745 is about 1907.4954833741.

The spelling of 6940496745 in words is "six billion, nine hundred forty million, four hundred ninety-six thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 243 273 315 351 405 455 567 585 819 945 1053 1215 1365 1701 1755 2457 2835 3159 4095 5265 7371 8505 12285 15795 22113 36855 62773 110565 188319 313865 439411 564957 816049 941595 1318233 1694871 2197055 2448147 2824785 3954699 4080245 5084613 5712343 6591165 7344441 8474355 11864097 12240735 15253839 17137029 19773495 22033323 25423065 28561715 35592291 36722205 51411087 59320485 66099969 76269195 85685145 106776873 110166615 154233261 177961455 198299907 257055435 330499845 462699783 533884365 771166305 991499535 1388099349 2313498915 6940496745