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63031450240 = 2751143208217
BaseRepresentation
bin111010101100111101…
…111001101010000000
320000200202210102201001
4322230331321222000
52013042022401430
644542314421344
74360656326023
oct725475715200
9200622712631
1063031450240
1124805679540
1210271131854
135c36803825
14309d3251ba
15198d95a3ca
hexeacf79a80

63031450240 has 128 divisors (see below), whose sum is σ = 168206829120. Its totient is φ = 22387384320.

The previous prime is 63031450219. The next prime is 63031450319. The reversal of 63031450240 is 4205413036.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 63031450199 and 63031450208.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 198612 + ... + 406828.

Almost surely, 263031450240 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 63031450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84103414560).

63031450240 is an abundant number, since it is smaller than the sum of its proper divisors (105175378880).

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

63031450240 is a wasteful number, since it uses less digits than its factorization.

63031450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208290 (or 208278 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 63031450240 its reverse (4205413036), we get a palindrome (67236863276).

The spelling of 63031450240 in words is "sixty-three billion, thirty-one million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 320 344 352 430 440 473 640 688 704 860 880 946 1376 1408 1720 1760 1892 2365 2752 3440 3520 3784 4730 5504 6880 7040 7568 9460 13760 15136 18920 27520 30272 37840 60544 75680 151360 208217 302720 416434 832868 1041085 1665736 2082170 2290387 3331472 4164340 4580774 6662944 8328680 8953331 9161548 11451935 13325888 16657360 17906662 18323096 22903870 26651776 33314720 35813324 36646192 44766655 45807740 66629440 71626648 73292384 89533310 91615480 98486641 133258880 143253296 146584768 179066620 183230960 196973282 286506592 293169536 358133240 366461920 393946564 492433205 573013184 716266480 732923840 787893128 984866410 1146026368 1432532960 1465847680 1575786256 1969732820 2865065920 3151572512 3939465640 5730131840 6303145024 7878931280 12606290048 15757862560 31515725120 63031450240