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76884874317408 = 2532381142935941
BaseRepresentation
bin10001011110110100100111…
…100111110100111001100000
3101002020010022002022010010210
4101132310213213310321200
540034140210311124113
6431304231302054120
722123514600525613
oct2136644747647140
9332203262263123
1076884874317408
1122552768193143
128758978a1a340
1333b929bc40251
1414db367c5c17a
158d4e4311b6c3
hex45ed279f4e60

76884874317408 has 96 divisors (see below), whose sum is σ = 210857380699392. Its totient is φ = 24483790425600.

The previous prime is 76884874317403. The next prime is 76884874317437. The reversal of 76884874317408 is 80471347848867.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×768848743174082 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76884874317408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76884874317403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19677283 + ... + 23258658.

It is an arithmetic number, because the mean of its divisors is an integer number (2196431048952).

Almost surely, 276884874317408 is an apocalyptic number.

It is an amenable number.

76884874317408 is an abundant number, since it is smaller than the sum of its proper divisors (133972506381984).

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

76884874317408 is a wasteful number, since it uses less digits than its factorization.

76884874317408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42936788 (or 42936780 counting only the distinct ones).

The product of its (nonzero) digits is 1618477056, while the sum is 75.

The spelling of 76884874317408 in words is "seventy-six trillion, eight hundred eighty-four billion, eight hundred seventy-four million, three hundred seventeen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 811 1104 1622 2208 2433 3244 4866 6488 9732 12976 18653 19464 25952 37306 38928 55959 74612 77856 111918 149224 223836 298448 447672 596896 895344 1790688 42935941 85871882 128807823 171743764 257615646 343487528 515231292 686975056 987526643 1030462584 1373950112 1975053286 2060925168 2962579929 3950106572 4121850336 5925159858 7900213144 11850319716 15800426288 23700639432 31600852576 34821048151 47401278864 69642096302 94802557728 104463144453 139284192604 208926288906 278568385208 417852577812 557136770416 800884107473 835705155624 1114273540832 1601768214946 1671410311248 2402652322419 3203536429892 3342820622496 4805304644838 6407072859784 9610609289676 12814145719568 19221218579352 25628291439136 38442437158704 76884874317408