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4676717136 = 2437131762981
BaseRepresentation
bin1000101101100000…
…10000101001010000
3110001221001211211210
410112300100221100
534034214422021
62052022140120
7223615303560
oct42660205120
913057054753
104676717136
111a8a980893
12aa6281640
13596b9b360
1432518ada0
151c5898e76
hex116c10a50

4676717136 has 160 divisors (see below), whose sum is σ = 15744492288. Its totient is φ = 1160847360.

The previous prime is 4676717081. The next prime is 4676717141. The reversal of 4676717136 is 6317176764.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42766 + ... + 105746.

Almost surely, 24676717136 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 4676717136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872246144).

4676717136 is an abundant number, since it is smaller than the sum of its proper divisors (11067775152).

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

4676717136 is a wasteful number, since it uses less digits than its factorization.

4676717136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63029 (or 63023 counting only the distinct ones).

The product of its digits is 889056, while the sum is 48.

The square root of 4676717136 is about 68386.5274451043. The cubic root of 4676717136 is about 1672.2981180533.

It can be divided in two parts, 46767 and 17136, that added together give a triangular number (63903 = T357).

The spelling of 4676717136 in words is "four billion, six hundred seventy-six million, seven hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1904 2184 2652 2856 3094 3536 4368 4641 5304 5712 6188 9282 10608 12376 18564 24752 37128 62981 74256 125962 188943 251924 377886 440867 503848 755772 818753 881734 1007696 1070677 1322601 1511544 1637506 1763468 2141354 2456259 2645202 3023088 3212031 3275012 3526936 4282708 4912518 5290404 5731271 6424062 6550024 7053872 7494739 8565416 9825036 10580808 11462542 12848124 13100048 13918801 14989478 17130832 17193813 19650072 21161616 22484217 22925084 25696248 27837602 29978956 34387626 39300144 41756403 44968434 45850168 51392496 55675204 59957912 68775252 83512806 89936868 91700336 97431607 111350408 119915824 137550504 167025612 179873736 194863214 222700816 275101008 292294821 334051224 359747472 389726428 584589642 668102448 779452856 1169179284 1558905712 2338358568 4676717136