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738418831969 = 74132192712
BaseRepresentation
bin10101011111011010011…
…00010011001001100001
32121120222200022021110111
422233231030103021201
544044240210110334
61323120330131321
7104230464340000
oct12575514231141
92546880267414
10738418831969
112651861a87a5
12bb13ab80b41
135482ba7b300
1427a4d8c0c37
151431bd60064
hexabed313261

738418831969 has 135 divisors (see below), whose sum is σ = 998538850899. Its totient is φ = 545698127520.

The previous prime is 738418831903. The next prime is 738418831979. The reversal of 738418831969 is 969138814837.

The square root of 738418831969 is 859313.

It is a perfect power (a square), and thus also a powerful number.

738418831969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 109233555025 + 629185276944 = 330505^2 + 793212^2 .

It is not a de Polignac number, because 738418831969 - 211 = 738418829921 is a prime.

It is a super-2 number, since 2×7384188319692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (738418831979) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10400265204 + ... + 10400265274.

Almost surely, 2738418831969 is an apocalyptic number.

738418831969 is the 859313-rd square number.

738418831969 is the 429657-th centered octagonal number.

It is an amenable number.

738418831969 is a deficient number, since it is larger than the sum of its proper divisors (260120018930).

738418831969 is an frugal number, since it uses more digits than its factorization.

738418831969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 110 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 67.

The spelling of 738418831969 in words is "seven hundred thirty-eight billion, four hundred eighteen million, eight hundred thirty-one thousand, nine hundred sixty-nine".

Divisors: 1 7 13 19 49 71 91 133 169 247 343 361 497 637 923 931 1183 1349 1729 2401 2527 3211 3479 4459 4693 5041 6461 6517 8281 9443 11999 12103 17537 17689 22477 24353 25631 31213 32851 35287 45227 45619 57967 61009 65533 66101 83993 84721 95779 122759 123823 157339 170471 179417 227981 229957 247009 316589 333203 405769 427063 458731 462707 587951 593047 670453 851929 859313 866761 1101373 1245127 1255919 1595867 1609699 1729063 1819801 2216123 2332421 2989441 3211117 3238949 4115657 4331639 4693171 5963503 6015191 7709611 8715889 8791433 11171069 11267893 12103441 12738607 16186651 16326947 20926087 22477819 23657413 28809599 30321473 32852197 41744521 42106337 61011223 61540031 78197483 89170249 113306557 114288629 146482609 157344733 165601891 212250311 229965379 292211647 307546369 427078561 547382381 624191743 793145899 800020403 1159213237 1485752177 2045481529 2152824583 2989549927 4369342201 5552021293 8114492659 10400265239 15069772081 38864149051 56801448613 105488404567 738418831969