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54551435120 = 2457137493329
BaseRepresentation
bin110010110011100001…
…001101011101110000
312012210210011000211222
4302303201031131300
51343210131410440
641021030324212
73640556355620
oct626341153560
9165723130758
1054551435120
1121153954686
12a6a51b9668
1351b49b4bc0
1428d6dc8880
1516442432b5
hexcb384d770

54551435120 has 80 divisors (see below), whose sum is σ = 156101050560. Its totient is φ = 17264627712.

The previous prime is 54551435117. The next prime is 54551435129. The reversal of 54551435120 is 2153415545.

54551435120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54551435129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3739385 + ... + 3753944.

It is an arithmetic number, because the mean of its divisors is an integer number (1951263132).

Almost surely, 254551435120 is an apocalyptic number.

It is an amenable number.

54551435120 is an abundant number, since it is smaller than the sum of its proper divisors (101549615440).

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

54551435120 is a wasteful number, since it uses less digits than its factorization.

54551435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7493362 (or 7493356 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 54551435120 in words is "fifty-four billion, five hundred fifty-one million, four hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 7493329 14986658 29973316 37466645 52453303 59946632 74933290 97413277 104906606 119893264 149866580 194826554 209813212 262266515 299733160 389653108 419626424 487066385 524533030 599466320 681892939 779306216 839252848 974132770 1049066060 1363785878 1558612432 1948265540 2098132120 2727571756 3409464695 3896531080 4196264240 5455143512 6818929390 7793062160 10910287024 13637858780 27275717560 54551435120