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2554146168 = 233724152973
BaseRepresentation
bin1001100000111101…
…0010110101111000
320121000002001212020
42120033102311320
520212330134133
61101240114440
7120202612200
oct23017226570
96530061766
102554146168
1110a0826902
125b3465a20
13319209ac2
141a3307400
15ee3740b3
hex983d2d78

2554146168 has 96 divisors (see below), whose sum is σ = 7609185360. Its totient is φ = 711943680.

The previous prime is 2554146151. The next prime is 2554146247. The reversal of 2554146168 is 8616414552.

2554146168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21730 + ... + 74702.

Almost surely, 22554146168 is an apocalyptic number.

2554146168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554146168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804592680).

2554146168 is an abundant number, since it is smaller than the sum of its proper divisors (5055039192).

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

2554146168 is a wasteful number, since it uses less digits than its factorization.

2554146168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53037 (or 53026 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 2554146168 is about 50538.5611983563. The cubic root of 2554146168 is about 1366.9372624085.

The spelling of 2554146168 in words is "two billion, five hundred fifty-four million, one hundred forty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 49 56 82 84 98 123 147 164 168 196 246 287 294 328 392 492 574 588 861 984 1148 1176 1722 2009 2296 3444 4018 6027 6888 8036 12054 16072 24108 48216 52973 105946 158919 211892 317838 370811 423784 635676 741622 1112433 1271352 1483244 2171893 2224866 2595677 2966488 4343786 4449732 5191354 6515679 7787031 8687572 8899464 10382708 13031358 15203251 15574062 17375144 20765416 26062716 30406502 31148124 45609753 52125432 60813004 62296248 91219506 106422757 121626008 182439012 212845514 319268271 364878024 425691028 638536542 851382056 1277073084 2554146168