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55400071776 = 2537811101653
BaseRepresentation
bin110011100110000110…
…100000001001100000
312021222221000020111020
4303212012200021200
51401424404244101
641241143445440
74000602561150
oct634606401140
9167887006436
1055400071776
1121549994995
12a8a1456880
1352bb76677a
1429779b4760
1516939c6136
hexce61a0260

55400071776 has 96 divisors (see below), whose sum is σ = 166406784768. Its totient is φ = 15808919040.

The previous prime is 55400071747. The next prime is 55400071777. The reversal of 55400071776 is 67717000455.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55400071777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494166 + ... + 595818.

It is an arithmetic number, because the mean of its divisors is an integer number (1733404008).

Almost surely, 255400071776 is an apocalyptic number.

55400071776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55400071776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83203392384).

55400071776 is an abundant number, since it is smaller than the sum of its proper divisors (111006712992).

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

55400071776 is a wasteful number, since it uses less digits than its factorization.

55400071776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102484 (or 102476 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 55400071776 in words is "fifty-five billion, four hundred million, seventy-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 811 1622 2433 3244 4866 5677 6488 9732 11354 12976 17031 19464 22708 25952 34062 38928 45416 68124 77856 90832 101653 136248 181664 203306 272496 304959 406612 544992 609918 711571 813224 1219836 1423142 1626448 2134713 2439672 2846284 3252896 4269426 4879344 5692568 8538852 9758688 11385136 17077704 22770272 34155408 68310816 82440583 164881166 247321749 329762332 494643498 577084081 659524664 989286996 1154168162 1319049328 1731252243 1978573992 2308336324 2638098656 3462504486 3957147984 4616672648 6925008972 7914295968 9233345296 13850017944 18466690592 27700035888 55400071776