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4672672762764 = 22317313072406773
BaseRepresentation
bin100001111111111000100…
…0000000000101110001100
3121112200222121011121112110
41003333301000000232030
51103024113211402024
613534332441504020
7661406121103056
oct103776100005614
917480877147473
104672672762764
11154173aa5a486
126357187a2010
1327b82883b6c6
1412223117c8d6
1581830ddd629
hex43ff1000b8c

4672672762764 has 96 divisors (see below), whose sum is σ = 11955466930176. Its totient is φ = 1414026685440.

The previous prime is 4672672762763. The next prime is 4672672762799.

4672672762764 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4672672762695 and 4672672762704.

It is not an unprimeable number, because it can be changed into a prime (4672672762763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738082 + ... + 3144854.

It is an arithmetic number, because the mean of its divisors is an integer number (124536113856).

Almost surely, 24672672762764 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 4672672762764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977733465088).

4672672762764 is an abundant number, since it is smaller than the sum of its proper divisors (7282794167412).

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

4672672762764 is a wasteful number, since it uses less digits than its factorization.

4672672762764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407135 (or 2407133 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 66.

The spelling of 4672672762764 in words is "four trillion, six hundred seventy-two billion, six hundred seventy-two million, seven hundred sixty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 307 372 527 614 921 1054 1228 1581 1842 2108 3162 3684 5219 6324 9517 10438 15657 19034 20876 28551 31314 38068 57102 62628 114204 161789 323578 485367 647156 970734 1941468 2406773 4813546 7220319 9627092 14440638 28881276 40915141 74609963 81830282 122745423 149219926 163660564 223829889 245490846 298439852 447659778 490981692 738879311 895319556 1268369371 1477758622 2216637933 2536738742 2955517244 3805108113 4433275866 5073477484 7610216226 8866551732 12560948287 15220432452 22905258641 25121896574 37682844861 45810517282 50243793148 68715775923 75365689722 91621034564 137431551846 150731379444 274863103692 389389396897 778778793794 1168168190691 1557557587588 2336336381382 4672672762764