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55131134124 = 223113761185051
BaseRepresentation
bin110011010110000100…
…100101100010101100
312021022011221210101110
4303112010211202230
51400402032242444
641154335312020
73661125623313
oct632604454254
9167264853343
1055131134124
11214210a7070
12a82737b610
135277b23371
14294dda927a
15167a0a0cb9
hexcd61258ac

55131134124 has 96 divisors (see below), whose sum is σ = 146490124032. Its totient is φ = 15988320000.

The previous prime is 55131134117. The next prime is 55131134189. The reversal of 55131134124 is 42143113155.

It is a junction number, because it is equal to n+sod(n) for n = 55131134091 and 55131134100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205399 + ... + 390449.

It is an arithmetic number, because the mean of its divisors is an integer number (1525938792).

Almost surely, 255131134124 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 55131134124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73245062016).

55131134124 is an abundant number, since it is smaller than the sum of its proper divisors (91358989908).

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

55131134124 is a wasteful number, since it uses less digits than its factorization.

55131134124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185167 (or 185165 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

Adding to 55131134124 its reverse (42143113155), we get a palindrome (97274247279).

The spelling of 55131134124 in words is "fifty-five billion, one hundred thirty-one million, one hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 61 66 74 111 122 132 148 183 222 244 366 407 444 671 732 814 1221 1342 1628 2013 2257 2442 2684 4026 4514 4884 6771 8052 9028 13542 24827 27084 49654 74481 99308 148962 185051 297924 370102 555153 740204 1110306 2035561 2220612 4071122 6106683 6846887 8142244 11288111 12213366 13693774 20540661 22576222 24426732 27387548 33864333 41081322 45152444 67728666 75315757 82162644 124169221 135457332 150631514 225947271 248338442 301263028 372507663 417660107 451894542 496676884 745015326 835320214 903789084 1252980321 1490030652 1670640428 2505960642 4594261177 5011921284 9188522354 13782783531 18377044708 27565567062 55131134124