Search a number
-
+
46321711352 = 237219972661
BaseRepresentation
bin101011001000111111…
…010011100011111000
311102120020110202011222
4223020333103203320
51224331324230402
633140243011212
73226616023100
oct531077234370
9142506422158
1046321711352
1118710442384
128b89069b08
1344a29ab477
142356002200
1513119bb7a2
hexac8fd38f8

46321711352 has 144 divisors (see below), whose sum is σ = 107621141400. Its totient is φ = 18585262080.

The previous prime is 46321711283. The next prime is 46321711357. The reversal of 46321711352 is 25311712364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46321711357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70077902 + ... + 70078562.

Almost surely, 246321711352 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 46321711352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53810570700).

46321711352 is an abundant number, since it is smaller than the sum of its proper divisors (61299430048).

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

46321711352 is a wasteful number, since it uses less digits than its factorization.

46321711352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 786 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The spelling of 46321711352 in words is "forty-six billion, three hundred twenty-one million, seven hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 97 98 133 152 194 196 266 388 392 532 661 679 776 931 1064 1322 1358 1843 1862 2644 2716 3686 3724 4627 4753 5288 5432 7372 7448 9254 9409 9506 12559 12901 14744 18508 18818 19012 25118 25802 32389 37016 37636 38024 50236 51604 64117 64778 65863 75272 87913 90307 100472 103208 128234 129556 131726 175826 178771 180614 256468 259112 263452 351652 357542 361228 448819 461041 512936 526904 615391 703304 715084 722456 897638 922082 1218223 1230782 1251397 1430168 1795276 1844164 2436446 2461564 2502794 3141733 3590552 3688328 4872892 4923128 5005588 6219349 6283466 8527561 8759779 9745784 10011176 12438698 12566932 17055122 17519558 24877396 25133864 34110244 35039116 43535443 49754792 59692927 68220488 70078232 87070886 118167631 119385854 174141772 236335262 238771708 304748101 348283544 472670524 477543416 609496202 827173417 945341048 1218992404 1654346834 2437984808 3308693668 5790213919 6617387336 11580427838 23160855676 46321711352