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5468155038 = 2323137833191
BaseRepresentation
bin1010001011110110…
…10110110010011110
3112010002022001112200
411011323112302132
542144321430123
62302333312330
7252335356653
oct50573266236
915102261480
105468155038
1123566a38a5
1210873356a6
13691b43cc8
1439c327c2a
152200ce143
hex145ed6c9e

5468155038 has 96 divisors (see below), whose sum is σ = 12715702272. Its totient is φ = 1695038400.

The previous prime is 5468155037. The next prime is 5468155051. The reversal of 5468155038 is 8305518645.

5468155038 is a `hidden beast` number, since 5 + 4 + 68 + 1 + 550 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5468154984 and 5468155002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5468155037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1712023 + ... + 1715213.

It is an arithmetic number, because the mean of its divisors is an integer number (132455232).

Almost surely, 25468155038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5468155038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357851136).

5468155038 is an abundant number, since it is smaller than the sum of its proper divisors (7247547234).

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

5468155038 is a wasteful number, since it uses less digits than its factorization.

5468155038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 5468155038 is about 73946.9745020038. The cubic root of 5468155038 is about 1761.7607892713.

The spelling of 5468155038 in words is "five billion, four hundred sixty-eight million, one hundred fifty-five thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 31 37 62 74 83 93 111 166 186 222 249 279 333 498 558 666 747 1147 1494 2294 2573 3071 3191 3441 5146 6142 6382 6882 7719 9213 9573 10323 15438 18426 19146 20646 23157 27639 28719 46314 55278 57438 95201 98921 118067 190402 197842 236134 264853 285603 296763 354201 529706 571206 593526 708402 794559 856809 890289 1062603 1589118 1713618 1780578 2125206 2383677 3660077 4767354 7320154 8210443 9799561 10980231 16420886 19599122 21960462 24631329 29398683 32940693 49262658 58797366 65881386 73893987 88196049 147787974 176392098 303786391 607572782 911359173 1822718346 2734077519 5468155038