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677981997 = 3271121931151
BaseRepresentation
bin101000011010010…
…010111100101101
31202020202001110100
4220122102330231
52342030410442
6151135301313
722541515620
oct5032227455
91666661410
10677981997
11318780a00
1216b07a839
13aa6005a4
1466085db7
153e7c384c
hex28692f2d

677981997 has 144 divisors (see below), whose sum is σ = 1345576960. Its totient is φ = 320760000.

The previous prime is 677981977. The next prime is 677982023. The reversal of 677981997 is 799189776.

677981997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 677981997 - 218 = 677719853 is a prime.

It is a super-2 number, since 2×6779819972 = 919319176512216018, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677981917) 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, 4489872 + ... + 4490022.

Almost surely, 2677981997 is an apocalyptic number.

It is an amenable number.

677981997 is a deficient number, since it is larger than the sum of its proper divisors (667594963).

677981997 is a wasteful number, since it uses less digits than its factorization.

677981997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its digits is 12002256, while the sum is 63.

The square root of 677981997 is about 26038.0874297633. The cubic root of 677981997 is about 878.4951886366.

The spelling of 677981997 in words is "six hundred seventy-seven million, nine hundred eighty-one thousand, nine hundred ninety-seven".

Divisors: 1 3 7 9 11 19 21 31 33 57 63 77 93 99 121 133 151 171 209 217 231 279 341 363 399 453 589 627 651 693 847 1023 1057 1089 1197 1359 1463 1661 1767 1881 1953 2299 2387 2541 2869 3069 3171 3751 4123 4389 4681 4983 5301 6479 6897 7161 7623 8607 9513 11253 11627 12369 13167 14043 14949 16093 18271 19437 20083 20691 21483 25821 26257 31559 32767 33759 34881 37107 42129 45353 48279 51491 54813 58311 60249 71269 78771 88939 94677 98301 104643 127897 136059 144837 154473 164439 180747 213807 220913 236313 266817 284031 294903 347149 360437 383691 408177 463419 498883 566401 622573 641421 662739 800451 978329 1041447 1081311 1151073 1496649 1699203 1867719 1988217 2430043 2934987 3124341 3243933 3964807 4489947 5097609 5603157 6848303 7290129 8804961 10761619 11894421 20544909 21870387 32284857 35683263 61634727 75331333 96854571 225993999 677981997