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54466654050 = 232521072394733
BaseRepresentation
bin110010101110011101…
…110010111101100010
312012120212121201002100
4302232131302331202
51343021430412200
641004401231230
73635506630524
oct625635627542
9165525551070
1054466654050
1121110008386
12a680932516
1351a026c5a3
1428c9a39a14
15163ba97d00
hexcae772f62

54466654050 has 144 divisors (see below), whose sum is σ = 148350683520. Its totient is φ = 14325467520.

The previous prime is 54466654037. The next prime is 54466654051. The reversal of 54466654050 is 5045666445.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 54466653987 and 54466654005.

It is not an unprimeable number, because it can be changed into a prime (54466654051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11505484 + ... + 11510216.

It is an arithmetic number, because the mean of its divisors is an integer number (1030213080).

Almost surely, 254466654050 is an apocalyptic number.

54466654050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54466654050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74175341760).

54466654050 is an abundant number, since it is smaller than the sum of its proper divisors (93884029470).

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

54466654050 is a wasteful number, since it uses less digits than its factorization.

54466654050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 54466654050 in words is "fifty-four billion, four hundred sixty-six million, six hundred fifty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 107 150 214 225 239 321 450 478 535 642 717 963 1070 1195 1434 1605 1926 2151 2390 2675 3210 3585 4302 4733 4815 5350 5975 7170 8025 9466 9630 10755 11950 14199 16050 17925 21510 23665 24075 25573 28398 35850 42597 47330 48150 51146 53775 70995 76719 85194 107550 118325 127865 141990 153438 212985 230157 236650 255730 354975 383595 425970 460314 506431 639325 709950 767190 1012862 1064925 1131187 1150785 1278650 1519293 1917975 2129850 2262374 2301570 2532155 3038586 3393561 3835950 4557879 5064310 5655935 5753925 6787122 7596465 9115758 10180683 11311870 11507850 12660775 15192930 16967805 20361366 22789395 25321550 28279675 33935610 37982325 45578790 50903415 56559350 75964650 84839025 101806830 113946975 121037009 169678050 227893950 242074018 254517075 363111027 509034150 605185045 726222054 1089333081 1210370090 1815555135 2178666162 3025925225 3631110270 5446665405 6051850450 9077775675 10893330810 18155551350 27233327025 54466654050