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55167083316 = 22331767344647
BaseRepresentation
bin110011011000001101…
…101110001100110100
312021101200121012102000
4303120031232030310
51400440233131231
641202102015300
73662043320412
oct633015561464
9167350535360
1055167083316
112143a420244
12a837417530
1352823cc187
142954a862b2
15167d3026e6
hexcd836e334

55167083316 has 96 divisors (see below), whose sum is σ = 151667470080. Its totient is φ = 17281216512.

The previous prime is 55167083291. The next prime is 55167083317. The reversal of 55167083316 is 61338076155.

55167083316 is a `hidden beast` number, since 551 + 6 + 7 + 0 + 83 + 3 + 16 = 666.

55167083316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55167083317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213305 + ... + 1257951.

It is an arithmetic number, because the mean of its divisors is an integer number (1579869480).

Almost surely, 255167083316 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 55167083316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75833735040).

55167083316 is an abundant number, since it is smaller than the sum of its proper divisors (96500386764).

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

55167083316 is a wasteful number, since it uses less digits than its factorization.

55167083316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45350 (or 45342 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 55167083316 in words is "fifty-five billion, one hundred sixty-seven million, eighty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 673 918 1346 1836 2019 2692 4038 6057 8076 11441 12114 18171 22882 24228 34323 36342 44647 45764 68646 72684 89294 102969 133941 137292 178588 205938 267882 308907 401823 411876 535764 617814 758999 803646 1205469 1235628 1517998 1607292 2276997 2410938 3035996 4553994 4821876 6830991 9107988 13661982 20492973 27323964 30047431 40985946 60094862 81971892 90142293 120189724 180284586 270426879 360569172 510806327 540853758 811280637 1021612654 1081707516 1532418981 1622561274 2043225308 3064837962 3245122548 4597256943 6129675924 9194513886 13791770829 18389027772 27583541658 55167083316