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54257106800 = 24521319549161
BaseRepresentation
bin110010100001111110…
…011011111101110000
312012001021022121022002
4302201332123331300
51342104304404200
640531514033132
73630353540561
oct624176337560
9165037277262
1054257106800
11210127a4436
12a6227187a8
135168a21830
1428a9c90168
1516284a4bd5
hexca1f9bf70

54257106800 has 120 divisors (see below), whose sum is σ = 147768510960. Its totient is φ = 18978969600.

The previous prime is 54257106797. The next prime is 54257106803. The reversal of 54257106800 is 860175245.

It is an interprime number because it is at equal distance from previous prime (54257106797) and next prime (54257106803).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54257106803) 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, 175781 + ... + 373380.

It is an arithmetic number, because the mean of its divisors is an integer number (1231404258).

Almost surely, 254257106800 is an apocalyptic number.

54257106800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54257106800 is an abundant number, since it is smaller than the sum of its proper divisors (93511404160).

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

54257106800 is a wasteful number, since it uses less digits than its factorization.

54257106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549211 (or 549200 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 54257106800 in words is "fifty-four billion, two hundred fifty-seven million, one hundred six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 38 40 50 52 65 76 80 95 100 104 130 152 190 200 208 247 260 304 325 380 400 475 494 520 650 760 950 988 1040 1235 1300 1520 1900 1976 2470 2600 3800 3952 4940 5200 6175 7600 9880 12350 19760 24700 49400 98800 549161 1098322 2196644 2745805 4393288 5491610 7139093 8786576 10434059 10983220 13729025 14278186 20868118 21966440 27458050 28556372 35695465 41736236 43932880 52170295 54916100 57112744 71390930 83472472 104340590 109832200 114225488 135642767 142781860 166944944 178477325 208681180 219664400 260851475 271285534 285563720 356954650 417362360 521702950 542571068 571127440 678213835 713909300 834724720 1043405900 1085142136 1356427670 1427818600 2086811800 2170284272 2712855340 2855637200 3391069175 4173623600 5425710680 6782138350 10851421360 13564276700 27128553400 54257106800