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5003379072 = 27341728387
BaseRepresentation
bin1001010100011100…
…11000000110000000
3110220200201222210000
410222032120012000
540221331112242
62144251440000
7234663006666
oct45216300600
913820658700
105003379072
11213830582a
12b77756000
13619772943
14356700c36
151e43c2a4c
hex12a398180

5003379072 has 160 divisors (see below), whose sum is σ = 15766411320. Its totient is φ = 1569632256.

The previous prime is 5003379061. The next prime is 5003379091. The reversal of 5003379072 is 2709733005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 162063 + ... + 190449.

Almost surely, 25003379072 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 5003379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7883205660).

5003379072 is an abundant number, since it is smaller than the sum of its proper divisors (10763032248).

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

5003379072 is a wasteful number, since it uses less digits than its factorization.

5003379072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28430 (or 28409 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 5003379072 is about 70734.5677303537. The cubic root of 5003379072 is about 1710.3610687222.

The spelling of 5003379072 in words is "five billion, three million, three hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 28387 29376 44064 56774 58752 85161 88128 113548 170322 176256 227096 255483 340644 454192 482579 510966 681288 766449 908384 965158 1021932 1362576 1447737 1532898 1816768 1930316 2043864 2299347 2725152 2895474 3065796 3633536 3860632 4087728 4343211 4598694 5450304 5790948 6131592 7721264 8175456 8686422 9197388 10900608 11581896 12263184 13029633 15442528 16350912 17372844 18394776 23163792 24526368 26059266 30885056 32701824 34745688 36789552 39088899 46327584 49052736 52118532 61770112 69491376 73579104 78177798 92655168 98105472 104237064 138982752 147158208 156355596 185310336 208474128 277965504 294316416 312711192 416948256 555931008 625422384 833896512 1250844768 1667793024 2501689536 5003379072