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63344523040 = 255532971453
BaseRepresentation
bin111010111111101000…
…001011011100100000
320001111120220011211221
4322333220023130200
52014212144214130
645033340544424
74401510363511
oct727750133440
9201446804757
1063344523040
1124956371797
1210339b52114
135c8662a9c6
1430ccb3ca08
1519ab19c87a
hexebfa0b720

63344523040 has 144 divisors (see below), whose sum is σ = 154206837288. Its totient is φ = 24586518528.

The previous prime is 63344523037. The next prime is 63344523091. The reversal of 63344523040 is 4032544336.

It can be written as a sum of positive squares in 12 ways, for example, as 35057319696 + 28287203344 = 187236^2 + 168188^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63344522987 and 63344523005.

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 23 ways as a sum of consecutive naturals, for example, 43594954 + ... + 43596406.

Almost surely, 263344523040 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 63344523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77103418644).

63344523040 is an abundant number, since it is smaller than the sum of its proper divisors (90862314248).

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

63344523040 is a wasteful number, since it uses less digits than its factorization.

63344523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The spelling of 63344523040 in words is "sixty-three billion, three hundred forty-four million, five hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 97 106 160 194 212 265 388 424 485 530 776 848 970 1060 1453 1552 1696 1940 2120 2809 2906 3104 3880 4240 5141 5618 5812 7265 7760 8480 10282 11236 11624 14045 14530 15520 20564 22472 23248 25705 28090 29060 41128 44944 46496 51410 56180 58120 77009 82256 89888 102820 112360 116240 140941 154018 164512 205640 224720 232480 272473 281882 308036 385045 411280 449440 544946 563764 616072 704705 770090 822560 1089892 1127528 1232144 1362365 1409410 1540180 2179784 2255056 2464288 2724730 2818820 3080360 4081477 4359568 4510112 5449460 5637640 6160720 7469873 8162954 8719136 10898920 11275280 12321440 14939746 16325908 20407385 21797840 22550560 29879492 32651816 37349365 40814770 43595680 59758984 65303632 74698730 81629540 119517968 130607264 149397460 163259080 239035936 298794920 326518160 395903269 597589840 653036320 791806538 1195179680 1583613076 1979516345 3167226152 3959032690 6334452304 7918065380 12668904608 15836130760 31672261520 63344523040