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4972133088 = 2532139713691
BaseRepresentation
bin1001010000101110…
…01011101011100000
3110211111221112100100
410220113023223200
540140331224323
62141214022400
7234133301556
oct45027135340
913744845310
104972133088
1121217041aa
12b691a7a00
136131527b0
143524c9bd6
151e179e943
hex1285cbae0

4972133088 has 144 divisors (see below), whose sum is σ = 15385262256. Its totient is φ = 1514004480.

The previous prime is 4972133069. The next prime is 4972133093. The reversal of 4972133088 is 8803312794.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356323 + ... + 370013.

It is an arithmetic number, because the mean of its divisors is an integer number (106842099).

Almost surely, 24972133088 is an apocalyptic number.

4972133088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4972133088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692631128).

4972133088 is an abundant number, since it is smaller than the sum of its proper divisors (10413129168).

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

4972133088 is a wasteful number, since it uses less digits than its factorization.

4972133088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4972133088 is about 70513.3539693014. The cubic root of 4972133088 is about 1706.7932432434.

The spelling of 4972133088 in words is "four billion, nine hundred seventy-two million, one hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 97 104 117 144 156 194 208 234 288 291 312 388 416 468 582 624 776 873 936 1164 1248 1261 1552 1746 1872 2328 2522 3104 3492 3744 3783 4656 5044 6984 7566 9312 10088 11349 13691 13968 15132 20176 22698 27382 27936 30264 40352 41073 45396 54764 60528 82146 90792 109528 121056 123219 164292 177983 181584 219056 246438 328584 355966 363168 438112 492876 533949 657168 711932 985752 1067898 1314336 1328027 1423864 1601847 1971504 2135796 2656054 2847728 3203694 3943008 3984081 4271592 5312108 5695456 6407388 7968162 8543184 10624216 11952243 12814776 15936324 17086368 17264351 21248432 23904486 25629552 31872648 34528702 42496864 47808972 51259104 51793053 63745296 69057404 95617944 103586106 127490592 138114808 155379159 191235888 207172212 276229616 310758318 382471776 414344424 552459232 621516636 828688848 1243033272 1657377696 2486066544 4972133088