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54540132000 = 253534545011
BaseRepresentation
bin110010110010110110…
…000101111010100000
312012202222212202212220
4302302312011322200
51343144233211000
641015544151040
73640361321124
oct626266057240
9165688782786
1054540132000
1121148534462
12a6a1468480
1351b2558173
1428d56c5584
15164325e1a0
hexcb2d85ea0

54540132000 has 96 divisors (see below), whose sum is σ = 178673511744. Its totient is φ = 14544032000.

The previous prime is 54540131957. The next prime is 54540132011. The reversal of 54540132000 is 23104545.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2260506 + ... + 2284505.

It is an arithmetic number, because the mean of its divisors is an integer number (1861182414).

Almost surely, 254540132000 is an apocalyptic number.

54540132000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54540132000 is an abundant number, since it is smaller than the sum of its proper divisors (124133379744).

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

54540132000 is a wasteful number, since it uses less digits than its factorization.

54540132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545039 (or 4545021 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 54540132000 its reverse (23104545), we get a palindrome (54563236545).

The spelling of 54540132000 in words is "fifty-four billion, five hundred forty million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 4545011 9090022 13635033 18180044 22725055 27270066 36360088 45450110 54540132 68175165 72720176 90900220 109080264 113625275 136350330 145440352 181800440 218160528 227250550 272700660 340875825 363600880 436321056 454501100 545401320 568126375 681751650 727201760 909002200 1090802640 1136252750 1363503300 1704379125 1818004400 2181605280 2272505500 2727006600 3408758250 3636008800 4545011000 5454013200 6817516500 9090022000 10908026400 13635033000 18180044000 27270066000 54540132000