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54354215300 = 22527311144061
BaseRepresentation
bin110010100111110000…
…111000000110000100
312012022001001020010012
4302213300320012010
51342304134342200
640545303245352
73632643131000
oct624760700604
9165261036105
1054354215300
11210625a04a0
12a64b149858
135182b92198
1428b8b2b700
151631c87a35
hexca7c38184

54354215300 has 144 divisors (see below), whose sum is σ = 150054979200. Its totient is φ = 16941456000.

The previous prime is 54354215299. The next prime is 54354215303. The reversal of 54354215300 is 351245345.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54354215303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305270 + ... + 449330.

Almost surely, 254354215300 is an apocalyptic number.

54354215300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54354215300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75027489600).

54354215300 is an abundant number, since it is smaller than the sum of its proper divisors (95700763900).

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

54354215300 is a wasteful number, since it uses less digits than its factorization.

54354215300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144107 (or 144086 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 54354215300 in words is "fifty-four billion, three hundred fifty-four million, two hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 343 350 385 490 539 550 686 700 770 980 1078 1100 1225 1372 1540 1715 1925 2156 2450 2695 3430 3773 3850 4900 5390 6860 7546 7700 8575 10780 13475 15092 17150 18865 26950 34300 37730 53900 75460 94325 144061 188650 288122 377300 576244 720305 1008427 1440610 1584671 2016854 2881220 3169342 3601525 4033708 5042135 6338684 7058989 7203050 7923355 10084270 11092697 14117978 14406100 15846710 20168540 22185394 25210675 28235956 31693420 35294945 39616775 44370788 49412923 50421350 55463485 70589890 77648879 79233550 98825846 100842700 110926970 141179780 155297758 158467100 176474725 197651692 221853940 247064615 277317425 310595516 352949450 388244395 494129230 543542153 554634850 705898900 776488790 988258460 1087084306 1109269700 1235323075 1552977580 1941221975 2174168612 2470646150 2717710765 3882443950 4941292300 5435421530 7764887900 10870843060 13588553825 27177107650 54354215300