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46422115264 = 267673474457
BaseRepresentation
bin101011001110111110…
…010100001111000000
311102211020101210110101
4223032332110033000
51230033030142024
633154231012144
73232245316630
oct531676241700
9142736353411
1046422115264
111876208a318
128bb680a054
1344ba733a75
14236549a6c0
15131a700c44
hexacef943c0

46422115264 has 112 divisors (see below), whose sum is σ = 107182017792. Its totient is φ = 19537385472.

The previous prime is 46422115261. The next prime is 46422115301. The reversal of 46422115264 is 46251122464.

46422115264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×464221152643 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46422115261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10413324 + ... + 10417780.

Almost surely, 246422115264 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 46422115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53591008896).

46422115264 is an abundant number, since it is smaller than the sum of its proper divisors (60759902528).

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

46422115264 is a wasteful number, since it uses less digits than its factorization.

46422115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4880 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The spelling of 46422115264 in words is "forty-six billion, four hundred twenty-two million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 347 448 469 536 694 938 1072 1388 1876 2144 2429 2776 3752 4288 4457 4858 5552 7504 8914 9716 11104 15008 17828 19432 22208 23249 30016 31199 35656 38864 46498 62398 71312 77728 92996 124796 142624 155456 162743 185992 249592 285248 298619 325486 371984 499184 597238 650972 743968 998368 1194476 1301944 1487936 1546579 1996736 2090333 2388952 2603888 3093158 4180666 4777904 5207776 6186316 8361332 9555808 10415552 10826053 12372632 16722664 19111616 21652106 24745264 33445328 43304212 49490528 66890656 86608424 98981056 103620793 133781312 173216848 207241586 346433696 414483172 692867392 725345551 828966344 1450691102 1657932688 2901382204 3315865376 5802764408 6631730752 11605528816 23211057632 46422115264