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55600216416 = 2532474107581
BaseRepresentation
bin110011110010000001…
…111111100101100000
312022111212121122022200
4303302001333211200
51402332123411131
641313053333200
74005553020213
oct636201774540
9168455548280
1055600216416
1121641966588
12a938497200
135321071854
1429963d377a
1516a635d2e6
hexcf207f960

55600216416 has 72 divisors (see below), whose sum is σ = 161477263584. Its totient is φ = 18139073280.

The previous prime is 55600216403. The next prime is 55600216429. The reversal of 55600216416 is 61461200655.

55600216416 is a `hidden beast` number, since 5 + 5 + 6 + 0 + 0 + 2 + 1 + 641 + 6 = 666.

55600216416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55600216403) and next prime (55600216429).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2040255 + ... + 2067326.

It is an arithmetic number, because the mean of its divisors is an integer number (2242739772).

Almost surely, 255600216416 is an apocalyptic number.

It is an amenable number.

55600216416 is an abundant number, since it is smaller than the sum of its proper divisors (105877047168).

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

55600216416 is a wasteful number, since it uses less digits than its factorization.

55600216416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107644 (or 4107633 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 55600216416 in words is "fifty-five billion, six hundred million, two hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 4107581 8215162 12322743 16430324 24645486 32860648 36968229 49290972 65721296 73936458 98581944 131442592 147872916 193056307 197163888 295745832 386112614 394327776 579168921 591491664 772225228 1158337842 1182983328 1544450456 1737506763 2316675684 3088900912 3475013526 4633351368 6177801824 6950027052 9266702736 13900054104 18533405472 27800108208 55600216416