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1690661973 = 3711213231127
BaseRepresentation
bin110010011000101…
…0111010001010101
311100211021112020010
41210301113101111
511430302140343
6435432430433
756616250440
oct14461272125
94324245203
101690661973
11798375400
123b2248419
1320c35a100
14120774657
159d65bd33
hex64c57455

1690661973 has 144 divisors (see below), whose sum is σ = 3190161408. Its totient is φ = 778377600.

The previous prime is 1690661899. The next prime is 1690661977. The reversal of 1690661973 is 3791660961.

It is not a de Polignac number, because 1690661973 - 210 = 1690660949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690661977) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13312236 + ... + 13312362.

Almost surely, 21690661973 is an apocalyptic number.

1690661973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1690661973 is a deficient number, since it is larger than the sum of its proper divisors (1499499435).

1690661973 is a wasteful number, since it uses less digits than its factorization.

1690661973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 1690661973 is about 41117.6601109548. The cubic root of 1690661973 is about 1191.2939278685.

The spelling of 1690661973 in words is "one billion, six hundred ninety million, six hundred sixty-one thousand, nine hundred seventy-three".

Divisors: 1 3 7 11 13 21 31 33 39 77 91 93 121 127 143 169 217 231 273 341 363 381 403 429 507 651 847 889 1001 1023 1183 1209 1397 1573 1651 1859 2387 2541 2667 2821 3003 3549 3751 3937 4191 4433 4719 4953 5239 5577 7161 8463 9779 11011 11253 11557 11811 13013 13299 15367 15717 18161 20449 21463 26257 27559 29337 31031 33033 34671 36673 39039 43307 46101 48763 51181 54483 57629 61347 64389 78771 82677 93093 107569 110019 127127 129921 143143 146289 150241 153543 172887 199771 236093 303149 322707 341341 358267 381381 403403 429429 450723 476377 562991 599313 633919 665353 708279 909447 1024023 1074801 1210209 1398397 1429131 1652651 1688973 1901757 1996059 2597023 3334639 3940937 4195191 4437433 4657471 4957953 6192901 7318883 7791069 10003917 11822811 13312299 13972413 18179161 18578703 21956649 43350307 51232181 54537483 80507713 130050921 153696543 241523139 563553991 1690661973