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138661389174 = 23711312719531
BaseRepresentation
bin1000000100100011011…
…1001110001101110110
3111020220112212101220110
42001020313032031312
54232434303423144
6143411122443450
713006105234560
oct2011067161566
9436815771813
10138661389174
1153895815000
1222a59503586
13100ca458899
1469d593a330
1539184560b9
hex2048dce376

138661389174 has 128 divisors (see below), whose sum is σ = 351373492224. Its totient is φ = 35730525600.

The previous prime is 138661389161. The next prime is 138661389179. The reversal of 138661389174 is 471983166831.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138661389179) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7089789 + ... + 7109319.

It is an arithmetic number, because the mean of its divisors is an integer number (2745105408).

Almost surely, 2138661389174 is an apocalyptic number.

138661389174 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138661389174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175686746112).

138661389174 is an abundant number, since it is smaller than the sum of its proper divisors (212712103050).

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

138661389174 is a wasteful number, since it uses less digits than its factorization.

138661389174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19703 (or 19681 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 138661389174 in words is "one hundred thirty-eight billion, six hundred sixty-one million, three hundred eighty-nine thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 127 154 231 242 254 363 381 462 726 762 847 889 1331 1397 1694 1778 2541 2662 2667 2794 3993 4191 5082 5334 7986 8382 9317 9779 15367 18634 19531 19558 27951 29337 30734 39062 46101 55902 58593 58674 92202 107569 117186 136717 169037 214841 215138 273434 322707 338074 410151 429682 507111 644523 645414 820302 1014222 1183259 1289046 1503887 2363251 2366518 2480437 3007774 3549777 4511661 4726502 4960874 7089753 7099554 7441311 9023322 14179506 14882622 16542757 17363059 25995761 27284807 33085514 34726118 49628271 51991522 52089177 54569614 77987283 81854421 99256542 104178354 155974566 163708842 181970327 190993649 300132877 363940654 381987298 545910981 572980947 600265754 900398631 1091821962 1145961894 1800797262 2100930139 3301461647 4201860278 6302790417 6602923294 9904384941 12605580834 19808769882 23110231529 46220463058 69330694587 138661389174