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54415150120 = 23559173133279
BaseRepresentation
bin110010101011011001…
…010100110000101000
312012110021201000222101
4302223121110300220
51342420234300440
640555321303144
73634313100352
oct625331246050
9165407630871
1054415150120
1121093a2a751
12a667634ab4
1351926a87a6
1428c2c700d2
1516372c269a
hexcab654c28

54415150120 has 64 divisors (see below), whose sum is σ = 125229888000. Its totient is φ = 21273301248.

The previous prime is 54415150117. The next prime is 54415150157. The reversal of 54415150120 is 2105151445.

It is a super-2 number, since 2×544151501202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341641 + ... + 474919.

It is an arithmetic number, because the mean of its divisors is an integer number (1956717000).

Almost surely, 254415150120 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 54415150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62614944000).

54415150120 is an abundant number, since it is smaller than the sum of its proper divisors (70814737880).

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

54415150120 is a wasteful number, since it uses less digits than its factorization.

54415150120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133522 (or 133518 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 54415150120 in words is "fifty-four billion, four hundred fifteen million, one hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 173 236 295 346 472 590 692 865 1180 1384 1730 2360 3460 6920 10207 20414 40828 51035 81656 102070 133279 204140 266558 408280 533116 666395 1066232 1332790 2665580 5331160 7863461 15726922 23057267 31453844 39317305 46114534 62907688 78634610 92229068 115286335 157269220 184458136 230572670 314538440 461145340 922290680 1360378753 2720757506 5441515012 6801893765 10883030024 13603787530 27207575060 54415150120