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90696999969609 = 311311011777493979
BaseRepresentation
bin10100100111110100001010…
…011101110010001101001001
3102220010112210212111100011120
4110213310022131302031021
543341434423443011414
6520521343201545453
725050433131461115
oct2447641235621511
9386115725440146
1090696999969609
11269984220205a0
12a209829945289
133b7b8c8a62357
141857a887b4745
15a743853862a9
hex527d0a772349

90696999969609 has 64 divisors (see below), whose sum is σ = 137604459847680. Its totient is φ = 52638295680000.

The previous prime is 90696999969523. The next prime is 90696999969647.

90696999969609 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90696999969609 - 215 = 90696999936841 is a prime.

It is a super-2 number, since 2×906969999696092 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90696999969509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183357982 + ... + 183851960.

It is an arithmetic number, because the mean of its divisors is an integer number (2150069685120).

Almost surely, 290696999969609 is an apocalyptic number.

It is an amenable number.

90696999969609 is a deficient number, since it is larger than the sum of its proper divisors (46907459878071).

90696999969609 is a wasteful number, since it uses less digits than its factorization.

90696999969609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495902.

The product of its (nonzero) digits is 55788550416, while the sum is 96.

The spelling of 90696999969609 in words is "ninety trillion, six hundred ninety-six billion, nine hundred ninety-nine million, nine hundred sixty-nine thousand, six hundred nine".

Divisors: 1 3 11 31 33 93 101 303 341 1023 1111 1777 3131 3333 5331 9393 19547 34441 55087 58641 103323 165261 179477 493979 538431 605957 1481937 1817871 1974247 5433769 5563787 5922741 15313349 16301307 16691361 45940047 49891879 61201657 149675637 168446839 183604971 505340517 548810669 877800683 1546648249 1646432007 2633402049 4639944747 9655807513 17013130739 27211821173 28967422539 51039392217 81635463519 88657868983 265973606949 299330032903 897990098709 975236558813 2748393938473 2925709676439 8245181815419 30232333323203 90696999969609