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53488726560 = 25325172184997
BaseRepresentation
bin110001110100001011…
…010011001000100000
312010001201110211202200
4301310023103020200
51334021103222220
640323345013200
73602333450133
oct616413231040
9163051424680
1053488726560
1120758a9aa45
12a449324200
13507578cc79
142835bd621a
1515d0cc6890
hexc742d3220

53488726560 has 144 divisors (see below), whose sum is σ = 193267443096. Its totient is φ = 13424615424.

The previous prime is 53488726553. The next prime is 53488726579. The reversal of 53488726560 is 6562788435.

53488726560 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 8 + 72 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53488588176 + 138384 = 231276^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×534887265602 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53488726497 and 53488726506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068019 + ... + 1116978.

Almost surely, 253488726560 is an apocalyptic number.

It is an amenable number.

53488726560 is an abundant number, since it is smaller than the sum of its proper divisors (139778716536).

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

53488726560 is a wasteful number, since it uses less digits than its factorization.

53488726560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185035 (or 2185024 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 53488726560 in words is "fifty-three billion, four hundred eighty-eight million, seven hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 2184997 4369994 6554991 8739988 10924985 13109982 17479976 19664973 21849970 26219964 32774955 34959952 37144949 39329946 43699940 52439928 65549910 69919904 74289898 78659892 87399880 98324865 104879856 111434847 131099820 148579796 157319784 174799760 185724745 196649730 209759712 222869694 262199640 297159592 314639568 334304541 349599520 371449490 393299460 445739388 524399280 557174235 594319184 629279136 668609082 742898980 786598920 891478776 1048798560 1114348470 1188638368 1337218164 1485797960 1573197840 1671522705 1782957552 2228696940 2674436328 2971595920 3146395680 3343045410 3565915104 4457393880 5348872656 5943191840 6686090820 8914787760 10697745312 13372181640 17829575520 26744363280 53488726560