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534045114512 = 247213241217421
BaseRepresentation
bin1111100010101111001…
…00011100000010010000
31220001110112002201112122
413301113210130002100
532222211022131022
61045200440113412
753404064401100
oct7612744340220
91801415081478
10534045114512
1119653a5a9978
1287602765868
133b48b59c050
141bbc29a7200
15dd59944742
hex7c5791c090

534045114512 has 120 divisors (see below), whose sum is σ = 1301617675512. Its totient is φ = 210392985600.

The previous prime is 534045114487. The next prime is 534045114553. The reversal of 534045114512 is 215411540435.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 156243116176 + 377801998336 = 395276^2 + 614656^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2347562 + ... + 2564982.

Almost surely, 2534045114512 is an apocalyptic number.

534045114512 is a gapful number since it is divisible by the number (52) 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 534045114512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650808837756).

534045114512 is an abundant number, since it is smaller than the sum of its proper divisors (767572561000).

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

534045114512 is a wasteful number, since it uses less digits than its factorization.

534045114512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217697 (or 217684 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 534045114512 its reverse (215411540435), we get a palindrome (749456654947).

The spelling of 534045114512 in words is "five hundred thirty-four billion, forty-five million, one hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 241 364 392 482 637 728 784 964 1274 1456 1687 1928 2548 3133 3374 3856 5096 6266 6748 10192 11809 12532 13496 21931 23618 25064 26992 43862 47236 50128 87724 94472 153517 175448 188944 217421 307034 350896 434842 614068 869684 1228136 1521947 1739368 2456272 2826473 3043894 3478736 5652946 6087788 10653629 11305892 12175576 19785311 21307258 22611784 24351152 39570622 42614516 45223568 52398461 79141244 85229032 104796922 138497177 158282488 170458064 209593844 276994354 316564976 366789227 419187688 553988708 681179993 733578454 838375376 1107977416 1362359986 1467156908 2215954832 2567524589 2724719972 2934313816 4768259951 5135049178 5449439944 5868627632 9536519902 10270098356 10898879888 19073039804 20540196712 33377819657 38146079608 41080393424 66755639314 76292159216 133511278628 267022557256 534045114512