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55500143840 = 25516317312301
BaseRepresentation
bin110011101100000100…
…001111110011100000
312022020220022102112222
4303230010033303200
51402131014100330
641255120410212
74003226303351
oct635404176340
9168226272488
1055500143840
11215a0425579
12a90aa76968
135306403ccb
142986dc3d28
15169c6920e5
hexcec10fce0

55500143840 has 96 divisors (see below), whose sum is σ = 132696851616. Its totient is φ = 21934540800.

The previous prime is 55500143837. The next prime is 55500143879. The reversal of 55500143840 is 4834100555.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55500143840.

It is a congruent number.

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, 4505690 + ... + 4517990.

It is an arithmetic number, because the mean of its divisors is an integer number (1382258871).

Almost surely, 255500143840 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 55500143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66348425808).

55500143840 is an abundant number, since it is smaller than the sum of its proper divisors (77196707776).

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

55500143840 is a wasteful number, since it uses less digits than its factorization.

55500143840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 55500143840 in words is "fifty-five billion, five hundred million, one hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 173 326 346 652 692 815 865 1304 1384 1630 1730 2608 2768 3260 3460 5216 5536 6520 6920 12301 13040 13840 24602 26080 27680 28199 49204 56398 61505 98408 112796 123010 140995 196816 225592 246020 281990 393632 451184 492040 563980 902368 984080 1127960 1968160 2005063 2128073 2255920 4010126 4256146 4511840 8020252 8512292 10025315 10640365 16040504 17024584 20050630 21280730 32081008 34049168 40101260 42561460 64162016 68098336 80202520 85122920 160405040 170245840 320810080 340491680 346875899 693751798 1387503596 1734379495 2775007192 3468758990 5550014384 6937517980 11100028768 13875035960 27750071920 55500143840