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690465822797601 = 33174753619899789
BaseRepresentation
bin1001110011111110011001101…
…0000110001110111100100001
310100112201212222100202101121000
42130333212122012032330201
51211000043001114010401
610444255341533222213
7265302336520355124
oct23477463206167441
93315655870671530
10690465822797601
11190004a02620584
1265534a9b031969
1323836856026c26
14c270a1d04a3bb
1554c5901e79186
hex273f99a18ef21

690465822797601 has 128 divisors (see below), whose sum is σ = 1145473813555200. Its totient is φ = 409195461242880.

The previous prime is 690465822797591. The next prime is 690465822797629. The reversal of 690465822797601 is 106797228564096.

690465822797601 is a `hidden beast` number, since 6 + 9 + 0 + 4 + 6 + 5 + 8 + 2 + 2 + 7 + 9 + 7 + 601 = 666.

It is not a de Polignac number, because 690465822797601 - 29 = 690465822797089 is a prime.

It is a super-3 number, since 3×6904658227976013 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 690465822797601.

It is not an unprimeable number, because it can be changed into a prime (690465822795601) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64795615 + ... + 74695403.

It is an arithmetic number, because the mean of its divisors is an integer number (8949014168400).

Almost surely, 2690465822797601 is an apocalyptic number.

690465822797601 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

690465822797601 is a deficient number, since it is larger than the sum of its proper divisors (455007990757599).

690465822797601 is a wasteful number, since it uses less digits than its factorization.

690465822797601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9899976 (or 9899970 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 690465822797601 in words is "six hundred ninety trillion, four hundred sixty-five billion, eight hundred twenty-two million, seven hundred ninety-seven thousand, six hundred one".

Divisors: 1 3 9 17 27 47 51 53 61 141 153 159 183 423 459 477 549 799 901 1037 1269 1431 1647 2397 2491 2703 2867 3111 3233 7191 7473 8109 8601 9333 9699 21573 22419 24327 25803 27999 29097 42347 48739 54961 67257 77409 87291 127041 146217 151951 164883 381123 438651 455853 494649 1143369 1315953 1367559 1483947 2583167 4102677 7749501 9899789 23248503 29699367 69745509 89098101 168296413 267294303 465290083 504889239 524688817 603887129 1395870249 1514667717 1574066451 1811661387 4187610747 4544003151 4722199353 5434984161 7909931411 8919709889 10266081193 12562832241 14166598059 16304952483 23729794233 24660374399 26759129667 28382695063 30798243579 32006017837 71189382699 73981123197 80277389001 85148085189 92394730737 96018053511 213568148097 221943369591 240832167003 255444255567 277184192211 288054160533 419226364783 482505816071 544102303229 665830108773 766332766701 864162481599 1257679094349 1447517448213 1504282838339 1632306909687 3773037283047 4342552344639 4512848515017 4896920729061 11319111849141 13027657033917 13538545545051 14690762187183 25572808251763 40615636635153 76718424755289 230155274265867 690465822797601