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1689896325576 = 23331120113071447
BaseRepresentation
bin11000100101110101101…
…010111001000111001000
312222112220210001222112010
4120211311222321013020
5210141401424404301
63332154435015520
7233043130522554
oct30456552710710
95875823058463
101689896325576
115a1754469438
1223361aa3a5a0
13c34834191b4
145bb1191c864
152de587d25d6
hex18975ab91c8

1689896325576 has 128 divisors (see below), whose sum is σ = 4371012034560. Its totient is φ = 543881088000.

The previous prime is 1689896325563. The next prime is 1689896325583. The reversal of 1689896325576 is 6755236989861.

It is a super-3 number, since 3×16898963255763 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1689896325498 and 1689896325507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167861285 + ... + 1167862731.

It is an arithmetic number, because the mean of its divisors is an integer number (34148531520).

Almost surely, 21689896325576 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 1689896325576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185506017280).

1689896325576 is an abundant number, since it is smaller than the sum of its proper divisors (2681115708984).

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

1689896325576 is a wasteful number, since it uses less digits than its factorization.

1689896325576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995 (or 3991 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 75.

The spelling of 1689896325576 in words is "one trillion, six hundred eighty-nine billion, eight hundred ninety-six million, three hundred twenty-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1201 1307 1447 2402 2614 2894 3603 3921 4341 4804 5228 5788 7206 7842 8682 9608 10456 11576 14412 15684 17364 28824 31368 34728 37231 40517 44857 74462 81034 89714 111693 121551 134571 148924 162068 179428 223386 243102 269142 297848 324136 358856 446772 486204 538284 893544 972408 1076568 1569707 1737847 1891229 3139414 3475694 3782458 4709121 5213541 5673687 6278828 6951388 7564916 9418242 10427082 11347374 12557656 13902776 15129832 18836484 20854164 22694748 37672968 41708328 45389496 48660917 53873257 58628099 97321834 107746514 117256198 145982751 161619771 175884297 194643668 215493028 234512396 291965502 323239542 351768594 389287336 430986056 469024792 583931004 646479084 703537188 1167862008 1292958168 1407074376 2271366029 4542732058 6814098087 9085464116 13628196174 18170928232 27256392348 54512784696 70412346899 140824693798 211237040697 281649387596 422474081394 563298775192 844948162788 1689896325576