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15428482752 = 2631931136429
BaseRepresentation
bin11100101111001101…
…11111011011000000
31110211020102010112010
432113212333123000
5223044142422002
611030541532520
71054221640164
oct162746773300
943736363463
1015428482752
1165a7a814a1
122ba6b74140
1315bb550b47
14a650c0ca4
1560475246c
hex3979bf6c0

15428482752 has 112 divisors (see below), whose sum is σ = 44356121600. Its totient is φ = 4714951680.

The previous prime is 15428482661. The next prime is 15428482757. The reversal of 15428482752 is 25728482451.

It is a super-2 number, since 2×154284827522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (15428482757) 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, 44874 + ... + 181302.

It is an arithmetic number, because the mean of its divisors is an integer number (396036800).

Almost surely, 215428482752 is an apocalyptic number.

15428482752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15428482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22178060800).

15428482752 is an abundant number, since it is smaller than the sum of its proper divisors (28927638848).

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

15428482752 is a wasteful number, since it uses less digits than its factorization.

15428482752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136494 (or 136484 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 48.

The spelling of 15428482752 in words is "fifteen billion, four hundred twenty-eight million, four hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 304 372 456 496 589 608 744 912 992 1178 1216 1488 1767 1824 1984 2356 2976 3534 3648 4712 5952 7068 9424 14136 18848 28272 37696 56544 113088 136429 272858 409287 545716 818574 1091432 1637148 2182864 2592151 3274296 4229299 4365728 5184302 6548592 7776453 8458598 8731456 10368604 12687897 13097184 15552906 16917196 20737208 25375794 26194368 31105812 33834392 41474416 50751588 62211624 67668784 80356681 82948832 101503176 124423248 135337568 160713362 165897664 203006352 241070043 248846496 270675136 321426724 406012704 482140086 497692992 642853448 812025408 964280172 1285706896 1928560344 2571413792 3857120688 5142827584 7714241376 15428482752