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55075482168 = 23372131357503
BaseRepresentation
bin110011010010110000…
…010010101000111000
312021011022020101020220
4303102300102220320
51400243310412133
641145030420040
73656551605600
oct632260225070
9167138211226
1055075482168
11213a2745a13
12a810801620
135269439505
14294683dc00
15167525b5b3
hexcd2c12a38

55075482168 has 96 divisors (see below), whose sum is σ = 161391605760. Its totient is φ = 15615687360.

The previous prime is 55075482139. The next prime is 55075482169. The reversal of 55075482168 is 86128457055.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55075482168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55075482169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24696 + ... + 332807.

It is an arithmetic number, because the mean of its divisors is an integer number (1681162560).

Almost surely, 255075482168 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 55075482168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80695802880).

55075482168 is an abundant number, since it is smaller than the sum of its proper divisors (106316123592).

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

55075482168 is a wasteful number, since it uses less digits than its factorization.

55075482168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357657 (or 357646 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 55075482168 in words is "fifty-five billion, seventy-five million, four hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 131 147 168 196 262 294 392 393 524 588 786 917 1048 1176 1572 1834 2751 3144 3668 5502 6419 7336 11004 12838 19257 22008 25676 38514 51352 77028 154056 357503 715006 1072509 1430012 2145018 2502521 2860024 4290036 5005042 7507563 8580072 10010084 15015126 17517647 20020168 30030252 35035294 46832893 52552941 60060504 70070588 93665786 105105882 140141176 140498679 187331572 210211764 280997358 327830251 374663144 420423528 561994716 655660502 983490753 1123989432 1311321004 1966981506 2294811757 2622642008 3933963012 4589623514 6884435271 7867926024 9179247028 13768870542 18358494056 27537741084 55075482168