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5014076352 = 263131311641
BaseRepresentation
bin1001010101101110…
…01011101111000000
3110221102212110200120
410222313023233000
540232100420402
62145313020240
7235152642255
oct45267135700
913842773616
105014076352
11214335185a
12b7b254680
1361ba499ac
14357cc742c
151e52d73bc
hex12adcbbc0

5014076352 has 112 divisors (see below), whose sum is σ = 13431585024. Its totient is φ = 1650688000.

The previous prime is 5014076297. The next prime is 5014076371. The reversal of 5014076352 is 2536704105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7821952 + ... + 7822592.

Almost surely, 25014076352 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 5014076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715792512).

5014076352 is an abundant number, since it is smaller than the sum of its proper divisors (8417508672).

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

5014076352 is a wasteful number, since it uses less digits than its factorization.

5014076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 5014076352 is about 70810.1430022564. The cubic root of 5014076352 is about 1711.5791247125.

The spelling of 5014076352 in words is "five billion, fourteen million, seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 311 393 524 622 641 786 933 1048 1244 1282 1572 1866 1923 2096 2488 2564 3144 3732 3846 4192 4976 5128 6288 7464 7692 8384 9952 10256 12576 14928 15384 19904 20512 25152 29856 30768 40741 41024 59712 61536 81482 83971 122223 123072 162964 167942 199351 244446 251913 325928 335884 398702 488892 503826 598053 651856 671768 797404 977784 1007652 1196106 1303712 1343536 1594808 1955568 2015304 2392212 2607424 2687072 3189616 3911136 4030608 4784424 5374144 6379232 7822272 8061216 9568848 12758464 16122432 19137696 26114981 38275392 52229962 78344943 104459924 156689886 208919848 313379772 417839696 626759544 835679392 1253519088 1671358784 2507038176 5014076352