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677781018054 = 232719768339979
BaseRepresentation
bin10011101110011101110…
…01011001010111000110
32101210110201120011111200
421313032321121113012
542101043420034204
61235211315243330
766653021411340
oct11671671312706
92353421504450
10677781018054
112414997956a8
12ab4375a9546
134bbb7145a4a
1424b3a440290
151296d620539
hex9dcee595c6

677781018054 has 96 divisors (see below), whose sum is σ = 1689346264320. Its totient is φ = 192381811776.

The previous prime is 677781017911. The next prime is 677781018077. The reversal of 677781018054 is 450810187776.

It is a super-3 number, since 3×6777810180543 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16933437 + ... + 16973415.

It is an arithmetic number, because the mean of its divisors is an integer number (17597356920).

Almost surely, 2677781018054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677781018054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844673132160).

677781018054 is an abundant number, since it is smaller than the sum of its proper divisors (1011565246266).

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

677781018054 is a wasteful number, since it uses less digits than its factorization.

677781018054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40874 (or 40871 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 677781018054 in words is "six hundred seventy-seven billion, seven hundred eighty-one million, eighteen thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 197 394 591 683 1182 1366 1379 1773 2049 2758 3546 4098 4137 4781 6147 8274 9562 12294 12411 14343 24822 28686 39979 43029 79958 86058 119937 134551 239874 269102 279853 359811 403653 559706 719622 807306 839559 941857 1210959 1679118 1883714 2421918 2518677 2825571 5037354 5651142 7875863 8476713 15751726 16953426 23627589 27305657 47255178 54611314 55131041 70882767 81916971 110262082 141765534 163833942 165393123 191139599 245750913 330786246 382279198 491501826 496179369 573418797 992358738 1146837594 1720256391 3440512782 5379214429 10758428858 16137643287 32275286574 37654501003 48412929861 75309002006 96825859722 112963503009 225927006018 338890509027 677781018054