Search a number
-
+
5331057088 = 267193716927
BaseRepresentation
bin1001111011100000…
…10111100111000000
3111202112022202111211
410331300113213000
541404222311323
62240555015504
7246052144330
oct47560274700
914675282454
105331057088
112296274105
12104943a594
1366c611866
1438803b0c0
1521304c70d
hex13dc179c0

5331057088 has 112 divisors (see below), whose sum is σ = 13071124480. Its totient is φ = 2105865216.

The previous prime is 5331057071. The next prime is 5331057089. The reversal of 5331057088 is 8807501335.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5331057088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5331057089) 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, 306481 + ... + 323407.

Almost surely, 25331057088 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 5331057088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535562240).

5331057088 is an abundant number, since it is smaller than the sum of its proper divisors (7740067392).

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

5331057088 is a wasteful number, since it uses less digits than its factorization.

5331057088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17002 (or 16992 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 5331057088 is about 73014.0882843852. The cubic root of 5331057088 is about 1746.9123336707.

The spelling of 5331057088 in words is "five billion, three hundred thirty-one million, fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 64 74 76 112 133 148 152 224 259 266 296 304 448 518 532 592 608 703 1036 1064 1184 1216 1406 2072 2128 2368 2812 4144 4256 4921 5624 8288 8512 9842 11248 16576 16927 19684 22496 33854 39368 44992 67708 78736 118489 135416 157472 236978 270832 314944 321613 473956 541664 626299 643226 947912 1083328 1252598 1286452 1895824 2251291 2505196 2572904 3791648 4384093 4502582 5010392 5145808 7583296 8768186 9005164 10020784 10291616 11899681 17536372 18010328 20041568 20583232 23799362 35072744 36020656 40083136 47598724 70145488 72041312 83297767 95197448 140290976 144082624 166595534 190394896 280581952 333191068 380789792 666382136 761579584 1332764272 2665528544 5331057088