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5152206720 = 273525110691
BaseRepresentation
bin1001100110001100…
…00110111110000000
3111022001210012221010
410303012012332000
541022431103340
62211125400520
7241451014563
oct46306067600
914261705833
105152206720
112204317191
12bb9569140
1364155103b
1436c3a24da
152024beb80
hex133186f80

5152206720 has 128 divisors (see below), whose sum is σ = 16489630080. Its totient is φ = 1368320000.

The previous prime is 5152206713. The next prime is 5152206721. The reversal of 5152206720 is 276022515.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51522067202 = 53090468171226316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5152206721) 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, 476575 + ... + 487265.

It is an arithmetic number, because the mean of its divisors is an integer number (128825235).

Almost surely, 25152206720 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 5152206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244815040).

5152206720 is an abundant number, since it is smaller than the sum of its proper divisors (11337423360).

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

5152206720 is a wasteful number, since it uses less digits than its factorization.

5152206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10964 (or 10952 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5152206720 is about 71778.8737721622. The cubic root of 5152206720 is about 1727.1541213212.

The spelling of 5152206720 in words is "five billion, one hundred fifty-two million, two hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 251 320 384 480 502 640 753 960 1004 1255 1506 1920 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 10691 12048 15060 16064 20080 21382 24096 30120 32073 32128 40160 42764 48192 53455 60240 64146 80320 85528 96384 106910 120480 128292 160365 160640 171056 213820 240960 256584 320730 342112 427640 481920 513168 641460 684224 855280 1026336 1282920 1368448 1710560 2052672 2565840 2683441 3421120 4105344 5131680 5366882 6842240 8050323 10263360 10733764 13417205 16100646 20526720 21467528 26834410 32201292 40251615 42935056 53668820 64402584 80503230 85870112 107337640 128805168 161006460 171740224 214675280 257610336 322012920 343480448 429350560 515220672 644025840 858701120 1030441344 1288051680 1717402240 2576103360 5152206720