Search a number
-
+
126006691644 = 2232175316323833
BaseRepresentation
bin111010101011010010…
…1011000011100111100
3110001020121211011101100
41311112211120130330
54031030203113034
6133515304413100
712050364130641
oct1652645303474
9401217734340
10126006691644
1149491546499
1220507477190
13bb61786b92
146154db7dc8
1534274b1099
hex1d5695873c

126006691644 has 144 divisors (see below), whose sum is σ = 345739054752. Its totient is φ = 38546067456.

The previous prime is 126006691631. The next prime is 126006691649. The reversal of 126006691644 is 446196600621.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 126006691644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126006691649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5275152 + ... + 5298984.

It is an arithmetic number, because the mean of its divisors is an integer number (2400965658).

Almost surely, 2126006691644 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 126006691644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172869527376).

126006691644 is an abundant number, since it is smaller than the sum of its proper divisors (219732363108).

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

126006691644 is a wasteful number, since it uses less digits than its factorization.

126006691644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24076 (or 24071 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 126006691644 in words is "one hundred twenty-six billion, six million, six hundred ninety-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 163 204 212 306 318 326 477 489 612 636 652 901 954 978 1467 1802 1908 1956 2703 2771 2934 3604 5406 5542 5868 8109 8313 8639 10812 11084 16218 16626 17278 23833 24939 25917 32436 33252 34556 47666 49878 51834 71499 77751 95332 99756 103668 142998 146863 155502 214497 285996 293726 311004 405161 428994 440589 587452 810322 857988 881178 1215483 1263149 1321767 1620644 1762356 2430966 2526298 2643534 3646449 3789447 3884779 4861932 5052596 5287068 7292898 7578894 7769558 11368341 11654337 14585796 15157788 15539116 21473533 22736682 23308674 34963011 42947066 45473364 46617348 64420599 66041243 69926022 85894132 128841198 132082486 139852044 193261797 198123729 205893287 257682396 264164972 386523594 396247458 411786574 594371187 617679861 773047188 792494916 823573148 1188742374 1235359722 1853039583 2377484748 2470719444 3500185879 3706079166 7000371758 7412158332 10500557637 14000743516 21001115274 31501672911 42002230548 63003345822 126006691644