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54141015016632 = 2337938917733751
BaseRepresentation
bin11000100111101101011111…
…11101111100010010111000
321002200211102102111000212210
430103312233331330102320
524044021244321013012
6311052012224335120
714255362552326555
oct1423665775742270
9232624372430783
1054141015016632
1116284091583915
1260a4a844744a0
13242962547794b
14d52620cb1a2c
1563d4ea9d723c
hex313daff7c4b8

54141015016632 has 64 divisors (see below), whose sum is σ = 137069569612800. Its totient is φ = 17818079760000.

The previous prime is 54141015016631. The next prime is 54141015016633. The reversal of 54141015016632 is 23661051014145.

It is an interprime number because it is at equal distance from previous prime (54141015016631) and next prime (54141015016633).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54141015016631) 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, 73419757 + ... + 74153507.

It is an arithmetic number, because the mean of its divisors is an integer number (2141712025200).

Almost surely, 254141015016632 is an apocalyptic number.

It is an amenable number.

54141015016632 is an abundant number, since it is smaller than the sum of its proper divisors (82928554596168).

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

54141015016632 is a wasteful number, since it uses less digits than its factorization.

54141015016632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772756 (or 772752 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 54141015016632 in words is "fifty-four trillion, one hundred forty-one billion, fifteen million, sixteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 38917 77834 116751 155668 233502 311336 467004 733751 934008 1467502 2201253 2935004 3074443 4402506 5870008 6148886 8805012 9223329 12297772 17610024 18446658 24595544 36893316 57966329 73786632 115932658 173898987 231865316 347797974 463730632 695595948 1391191896 28555387667 57110775334 85666163001 114221550668 171332326002 228443101336 342664652004 685329304008 2255875625693 4511751251386 6767626877079 9023502502772 13535253754158 18047005005544 27070507508316 54141015016632