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138063583251968 = 2911231065831763
BaseRepresentation
bin11111011001000101101110…
…110101100000111000000000
3200002211202020111111120000012
4133121011232311200320000
5121044013204303030333
61205345311243444052
741036523204354323
oct3731055665407000
9602752214446005
10138063583251968
113aa9a489487790
1213599792826628
135c064560a145a
1426144551607ba
1510e653d615e48
hex7d916ed60e00

138063583251968 has 80 divisors (see below), whose sum is σ = 314019617636736. Its totient is φ = 60027644835840.

The previous prime is 138063583251949. The next prime is 138063583251973. The reversal of 138063583251968 is 869152385360831.

It is a super-3 number, since 3×1380635832519683 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138063583251898 and 138063583251907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532786346 + ... + 533045417.

Almost surely, 2138063583251968 is an apocalyptic number.

It is an amenable number.

138063583251968 is an abundant number, since it is smaller than the sum of its proper divisors (175956034384768).

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

138063583251968 is a wasteful number, since it uses less digits than its factorization.

138063583251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065831815 (or 1065831799 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 68.

The spelling of 138063583251968 in words is "one hundred thirty-eight trillion, sixty-three billion, five hundred eighty-three million, two hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 704 736 1012 1408 1472 2024 2816 2944 4048 5632 5888 8096 11776 16192 32384 64768 129536 1065831763 2131663526 4263327052 8526654104 11724149393 17053308208 23448298786 24514130549 34106616416 46896597572 49028261098 68213232832 93793195144 98056522196 136426465664 187586390288 196113044392 269655436039 272852931328 375172780576 392226088784 539310872078 545705862656 750345561152 784452177568 1078621744156 1500691122304 1568904355136 2157243488312 3001382244608 3137808710272 4314486976624 6002764489216 6275617420544 8628973953248 12551234841088 17257947906496 34515895812992 69031791625984 138063583251968