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55660050048 = 2732347134087
BaseRepresentation
bin110011110101100110…
…001111011010000000
312022200001012111122010
4303311212033122000
51402442433100143
641323032012520
74010210422251
oct636546173200
9168601174563
1055660050048
1121672713469
12a954531140
135330590b75
1429a032ab28
1516ab72ba33
hexcf598f680

55660050048 has 128 divisors (see below), whose sum is σ = 157558763520. Its totient is φ = 17368964096.

The previous prime is 55660050029. The next prime is 55660050101. The reversal of 55660050048 is 84005006655.

55660050048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 55660049988 and 55660050015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348061 + ... + 482147.

It is an arithmetic number, because the mean of its divisors is an integer number (1230927840).

Almost surely, 255660050048 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 55660050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78779381760).

55660050048 is an abundant number, since it is smaller than the sum of its proper divisors (101898713472).

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

55660050048 is a wasteful number, since it uses less digits than its factorization.

55660050048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134174 (or 134162 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 55660050048 in words is "fifty-five billion, six hundred sixty million, fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 64 69 92 94 96 128 138 141 184 188 192 276 282 368 376 384 552 564 736 752 1081 1104 1128 1472 1504 2162 2208 2256 2944 3008 3243 4324 4416 4512 6016 6486 8648 8832 9024 12972 17296 18048 25944 34592 51888 69184 103776 134087 138368 207552 268174 402261 415104 536348 804522 1072696 1609044 2145392 3084001 3218088 4290784 6168002 6302089 6436176 8581568 9252003 12336004 12604178 12872352 17163136 18504006 18906267 24672008 25208356 25744704 37008012 37812534 49344016 50416712 51489408 74016024 75625068 98688032 100833424 144948047 148032048 151250136 197376064 201666848 289896094 296064096 302500272 394752128 403333696 434844141 579792188 592128192 605000544 806667392 869688282 1159584376 1184256384 1210001088 1739376564 2319168752 2420002176 3478753128 4638337504 6957506256 9276675008 13915012512 18553350016 27830025024 55660050048