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5145461328 = 2437531132557
BaseRepresentation
bin1001100101011000…
…11000001001010000
3111021121002111222210
410302230120021100
541014214230303
62210325032120
7241336461660
oct46254301120
914247074883
105145461328
11220052a287
12bb7255640
1364002b997
1436b5281a0
15201adb203
hex132b18250

5145461328 has 160 divisors (see below), whose sum is σ = 15621071616. Its totient is φ = 1429069824.

The previous prime is 5145461317. The next prime is 5145461339. The reversal of 5145461328 is 8231645415.

It is an interprime number because it is at equal distance from previous prime (5145461317) and next prime (5145461339).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2011026 + ... + 2013582.

Almost surely, 25145461328 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 5145461328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810535808).

5145461328 is an abundant number, since it is smaller than the sum of its proper divisors (10475610288).

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

5145461328 is a wasteful number, since it uses less digits than its factorization.

5145461328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2735 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 5145461328 is about 71731.8710755547. The cubic root of 5145461328 is about 1726.4000483434.

The spelling of 5145461328 in words is "five billion, one hundred forty-five million, four hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 113 159 168 212 226 318 336 339 371 424 452 636 678 742 791 848 904 1113 1272 1356 1484 1582 1808 2226 2373 2544 2557 2712 2968 3164 4452 4746 5114 5424 5936 5989 6328 7671 8904 9492 10228 11978 12656 15342 17808 17899 17967 18984 20456 23956 30684 35798 35934 37968 40912 41923 47912 53697 61368 71596 71868 83846 95824 107394 122736 125769 135521 143192 143736 167692 214788 251538 271042 286384 287472 288941 335384 406563 429576 503076 542084 577882 670768 813126 859152 866823 948647 1006152 1084168 1155764 1626252 1733646 1897294 2012304 2022587 2168336 2311528 2845941 3252504 3467292 3794588 4045174 4623056 5691882 6067761 6505008 6934584 7589176 8090348 11383764 12135522 13869168 15178352 15313873 16180696 22767528 24271044 30627746 32361392 45535056 45941619 48542088 61255492 91883238 97084176 107197111 122510984 183766476 214394222 245021968 321591333 367532952 428788444 643182666 735065904 857576888 1286365332 1715153776 2572730664 5145461328