Search a number
-
+
46407848616 = 23331791113873
BaseRepresentation
bin101011001110000111…
…111001001010101000
311102210020112222022000
4223032013321022220
51230020402123431
633153001131000
73232013130123
oct531607711250
9142706488260
1046407848616
11187550255a8
128bb1a89a60
1344b77aa16c
1423636253ba
1513193339e6
hexace1f92a8

46407848616 has 128 divisors (see below), whose sum is σ = 136653350400. Its totient is φ = 14542295040.

The previous prime is 46407848533. The next prime is 46407848621. The reversal of 46407848616 is 61684870464.

46407848616 is a `hidden beast` number, since 46 + 40 + 78 + 486 + 16 = 666.

46407848616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3338256 + ... + 3352128.

It is an arithmetic number, because the mean of its divisors is an integer number (1067604300).

Almost surely, 246407848616 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 46407848616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68326675200).

46407848616 is an abundant number, since it is smaller than the sum of its proper divisors (90245501784).

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

46407848616 is a wasteful number, since it uses less digits than its factorization.

46407848616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14816 (or 14806 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 46407848616 in words is "forty-six billion, four hundred seven million, eight hundred forty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 911 918 1224 1822 1836 2733 3644 3672 5466 7288 8199 10932 13873 15487 16398 21864 24597 27746 30974 32796 41619 46461 49194 55492 61948 65592 83238 92922 98388 110984 123896 124857 139383 166476 185844 196776 235841 249714 278766 332952 371688 374571 418149 471682 499428 557532 707523 749142 836298 943364 998856 1115064 1415046 1498284 1672596 1886728 2122569 2830092 2996568 3345192 4245138 5660184 6367707 8490276 12638303 12735414 16980552 25276606 25470828 37914909 50553212 50941656 75829818 101106424 113744727 151659636 214851151 227489454 303319272 341234181 429702302 454978908 644553453 682468362 859404604 909957816 1289106906 1364936724 1718809208 1933660359 2578213812 2729873448 3867320718 5156427624 5800981077 7734641436 11601962154 15469282872 23203924308 46407848616