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54540343424 = 277179340061
BaseRepresentation
bin110010110010110110…
…111001100010000000
312012210000021111220102
4302302312321202000
51343144311442144
641015552501532
73640363161410
oct626266714200
9165700244812
1054540343424
1121148669296
12a6a154a8a8
1351b2600478
1428d573c640
1516432a1b4e
hexcb2db9880

54540343424 has 64 divisors (see below), whose sum is σ = 124870766400. Its totient is φ = 23243781120.

The previous prime is 54540343411. The next prime is 54540343447. The reversal of 54540343424 is 42434304545.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9647 + ... + 330414.

It is an arithmetic number, because the mean of its divisors is an integer number (1951105725).

Almost surely, 254540343424 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 54540343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62435383200).

54540343424 is an abundant number, since it is smaller than the sum of its proper divisors (70330422976).

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

54540343424 is a wasteful number, since it uses less digits than its factorization.

54540343424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340261 (or 340249 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 38.

Adding to 54540343424 its reverse (42434304545), we get a palindrome (96974647969).

The spelling of 54540343424 in words is "fifty-four billion, five hundred forty million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 179 224 358 448 716 896 1253 1432 2506 2864 5012 5728 10024 11456 20048 22912 40096 80192 160384 340061 680122 1360244 2380427 2720488 4760854 5440976 9521708 10881952 19043416 21763904 38086832 43527808 60870919 76173664 121741838 152347328 243483676 304694656 426096433 486967352 852192866 973934704 1704385732 1947869408 3408771464 3895738816 6817542928 7791477632 13635085856 27270171712 54540343424