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55064420621144 = 231110376925913049
BaseRepresentation
bin11001000010100101011110…
…01110110001101101011000
321012222002220011001000111022
430201102233032301231120
524204133413134334034
6313040125015222012
714412162450423254
oct1441225716615530
9235862804030438
1055064420621144
11165aa764a06810
126213a2b077908
13249572504747c
14d851bc9a9264
15657542c42b2e
hex3214af3b1b58

55064420621144 has 128 divisors (see below), whose sum is σ = 113954480640000. Its totient is φ = 24736378060800.

The previous prime is 55064420621123. The next prime is 55064420621257. The reversal of 55064420621144 is 44112602446055.

55064420621144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 55064420621095 and 55064420621104.

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 31 ways as a sum of consecutive naturals, for example, 18059828132 + ... + 18059831180.

It is an arithmetic number, because the mean of its divisors is an integer number (890269380000).

Almost surely, 255064420621144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55064420621144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56977240320000).

55064420621144 is an abundant number, since it is smaller than the sum of its proper divisors (58890060018856).

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

55064420621144 is a wasteful number, since it uses less digits than its factorization.

55064420621144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6525 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 55064420621144 in words is "fifty-five trillion, sixty-four billion, four hundred twenty million, six hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 769 824 1133 1538 2266 2591 3049 3076 4532 5182 6098 6152 8459 9064 10364 12196 16918 20728 24392 28501 33539 33836 57002 67078 67672 79207 114004 134156 158414 228008 266873 268312 314047 316828 533746 628094 633656 871277 1067492 1256188 1742554 1992479 2134984 2344681 2512376 2935603 3454517 3485108 3984958 4689362 5871206 6909034 6970216 7899959 7969916 9378724 11742412 13818068 15799918 15939832 18757448 21917269 23484824 25791491 27636136 31599836 43834538 51582982 63199672 86899549 87669076 103165964 173799098 175338152 205225337 206331928 241502143 347598196 410450674 483004286 695196392 813695777 820901348 966008572 1627391554 1641802696 1932017144 2257478707 2656523573 3254783108 4514957414 5313047146 6075068471 6509566216 8950653547 9029914828 10626094292 12150136942 17901307094 18059829656 21252188584 24300273884 35802614188 48600547768 66825753181 71605228376 133651506362 267303012724 534606025448 625732052513 1251464105026 2502928210052 5005856420104 6883052577643 13766105155286 27532210310572 55064420621144