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740768006511 = 34137916354631
BaseRepresentation
bin10101100011110010011…
…01101100000101101111
32121211001101200201010000
422301321031230011233
544114043102202021
61324145405115343
7104342631110241
oct12617115540557
92554041621100
10740768006511
11266181256365
12bb695858b53
1354b1467cc10
1427bd38b0091
15144081e6b26
hexac7936c16f

740768006511 has 80 divisors (see below), whose sum is σ = 1214211496960. Its totient is φ = 447317432640.

The previous prime is 740768006417. The next prime is 740768006543. The reversal of 740768006511 is 115600867047.

740768006511 is a `hidden beast` number, since 74 + 0 + 7 + 68 + 0 + 0 + 6 + 511 = 666.

It is not a de Polignac number, because 740768006511 - 210 = 740768005487 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740768006551) 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, 13532166 + ... + 13586796.

It is an arithmetic number, because the mean of its divisors is an integer number (15177643712).

Almost surely, 2740768006511 is an apocalyptic number.

740768006511 is a deficient number, since it is larger than the sum of its proper divisors (473443490449).

740768006511 is a wasteful number, since it uses less digits than its factorization.

740768006511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54898 (or 54889 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 740768006511 in words is "seven hundred forty billion, seven hundred sixty-eight million, six thousand, five hundred eleven".

Divisors: 1 3 9 13 27 39 79 81 117 163 237 351 489 711 1027 1053 1467 2119 2133 3081 4401 6357 6399 9243 12877 13203 19071 27729 38631 54631 57213 83187 115893 163893 167401 171639 347679 491679 502203 710203 1043037 1475037 1506609 2130609 4315849 4425111 4519827 6391827 8904853 12947547 13559481 19175481 26714559 38842641 56106037 57526443 80143677 115763089 116527923 168318111 240431031 347289267 349583769 504954333 703483387 721293093 1041867801 1514862999 2110450161 3125603403 4544588997 6331350483 9145284031 9376810209 18994051449 27435852093 56982154347 82307556279 246922668837 740768006511