Search a number
-
+
55505610132210 = 23357173217537001
BaseRepresentation
bin11001001111011011010000…
…01011001100101011110010
321021112021200101221100102000
430213231220023030223302
524233400442143212320
6314014531505434430
714456101522406340
oct1447555013145362
9237467611840360
1055505610132210
111675a884989447
12628543863ba16
1324c8205cc9264
14d9c6b32d8990
15663c6578ac90
hex327b682ccaf2

55505610132210 has 256 divisors, whose sum is σ = 179166550164480. Its totient is φ = 11936968704000.

The previous prime is 55505610132209. The next prime is 55505610132221. The reversal of 55505610132210 is 1223101650555.

55505610132210 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 5 + 610 + 1 + 3 + 22 + 10 = 666.

It is a super-2 number, since 2×555056101322102 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103093710 + ... + 103630710.

It is an arithmetic number, because the mean of its divisors is an integer number (699869336580).

Almost surely, 255505610132210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55505610132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89583275082240).

55505610132210 is an abundant number, since it is smaller than the sum of its proper divisors (123660940032270).

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

55505610132210 is a wasteful number, since it uses less digits than its factorization.

55505610132210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540258 (or 540252 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 55505610132210 its reverse (1223101650555), we get a palindrome (56728711782765).

The spelling of 55505610132210 in words is "fifty-five trillion, five hundred five billion, six hundred ten million, one hundred thirty-two thousand, two hundred ten".