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55688434176 = 293174720753
BaseRepresentation
bin110011110111010010…
…100001001000000000
312022202000121120100010
4303313102201020000
51403022214343201
641325524224520
74011003610644
oct636722411000
9168660546303
1055688434176
112168773a921
12a961b3b140
13533641b4cb
1429a3dd8c24
1516ade86bd6
hexcf74a1200

55688434176 has 80 divisors (see below), whose sum is σ = 148449543264. Its totient is φ = 18551291904.

The previous prime is 55688434171. The next prime is 55688434189. The reversal of 55688434176 is 67143488655.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55688434171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2673016 + ... + 2693768.

Almost surely, 255688434176 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 55688434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74224771632).

55688434176 is an abundant number, since it is smaller than the sum of its proper divisors (92761109088).

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

55688434176 is a wasteful number, since it uses less digits than its factorization.

55688434176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22521 (or 22505 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The spelling of 55688434176 in words is "fifty-five billion, six hundred eighty-eight million, four hundred thirty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1747 3494 5241 6988 10482 13976 20753 20964 27952 41506 41928 55904 62259 83012 83856 111808 124518 166024 167712 223616 249036 332048 335424 447232 498072 664096 670848 894464 996144 1328192 1341696 1992288 2656384 2683392 3984576 5312768 7969152 10625536 15938304 31876608 36255491 72510982 108766473 145021964 217532946 290043928 435065892 580087856 870131784 1160175712 1740263568 2320351424 3480527136 4640702848 6961054272 9281405696 13922108544 18562811392 27844217088 55688434176