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450141461550 = 2325211496918301
BaseRepresentation
bin1101000110011101000…
…01011001110000101110
31121000220010120112101100
412203032201121300232
524333342203232200
6542443033423530
744343632202054
oct6431641316056
91530803515340
10450141461550
111639a4135620
12732a756aba6
13335a97aa711
1417b035d81d4
15ba988d2d00
hex68ce859c2e

450141461550 has 144 divisors (see below), whose sum is σ = 1319661317520. Its totient is φ = 109097280000.

The previous prime is 450141461533. The next prime is 450141461557. The reversal of 450141461550 is 55164141054.

450141461550 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 41 + 4 + 61 + 550 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450141461557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24587400 + ... + 24605700.

It is an arithmetic number, because the mean of its divisors is an integer number (9164314705).

Almost surely, 2450141461550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450141461550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659830658760).

450141461550 is an abundant number, since it is smaller than the sum of its proper divisors (869519855970).

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

450141461550 is a wasteful number, since it uses less digits than its factorization.

450141461550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23299 (or 23291 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 450141461550 in words is "four hundred fifty billion, one hundred forty-one million, four hundred sixty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 4969 9938 14907 18301 24845 29814 36602 44721 49690 54659 54903 74535 89442 91505 109318 109806 124225 149070 163977 164709 183010 201311 223605 248450 273295 274515 327954 329418 372675 402622 447210 457525 491931 546590 549030 603933 745350 819885 823545 915050 983862 1006555 1118025 1207866 1366475 1372575 1639770 1647090 1811799 2013110 2236050 2459655 2732950 2745150 3019665 3623598 4099425 4117725 4919310 5032775 6039330 8198850 8235450 9058995 10065550 12298275 15098325 18117990 24596550 30196650 45294975 90589950 90937669 181875338 272813007 454688345 545626014 818439021 909376690 1000314359 1364065035 1636878042 2000628718 2273441725 2728130070 3000943077 4092195105 4546883450 5001571795 6001886154 6820325175 8184390210 9002829231 10003143590 13640650350 15004715385 18005658462 20460975525 25007858975 30009430770 40921951050 45014146155 50015717950 75023576925 90028292310 150047153850 225070730775 450141461550