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7550400096 = 253429100447
BaseRepresentation
bin1110000100000100…
…11111011001100000
3201111012102001210000
413002002133121200
5110430400300341
63245115140000
7355051225161
oct70202373140
921435361700
107550400096
113225005388
121568744600
13934356585
14518ab1768
152e2cda8b6
hex1c209f660

7550400096 has 120 divisors (see below), whose sum is σ = 22971453120. Its totient is φ = 2429989632.

The previous prime is 7550400047. The next prime is 7550400119. The reversal of 7550400096 is 6900040557.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7550400096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24945 + ... + 125391.

It is an arithmetic number, because the mean of its divisors is an integer number (191428776).

Almost surely, 27550400096 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 7550400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485726560).

7550400096 is an abundant number, since it is smaller than the sum of its proper divisors (15421053024).

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

7550400096 is a wasteful number, since it uses less digits than its factorization.

7550400096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100498 (or 100481 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7550400096 is about 86893.0382481819. The cubic root of 7550400096 is about 1961.8086955410.

The spelling of 7550400096 in words is "seven billion, five hundred fifty million, four hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3132 4176 4698 6264 8352 9396 12528 18792 25056 37584 75168 100447 200894 301341 401788 602682 803576 904023 1205364 1607152 1808046 2410728 2712069 2912963 3214304 3616092 4821456 5424138 5825926 7232184 8136207 8738889 9642912 10848276 11651852 14464368 16272414 17477778 21696552 23303704 26216667 28928736 32544828 34955556 43393104 46607408 52433334 65089656 69911112 78650001 86786208 93214816 104866668 130179312 139822224 157300002 209733336 235950003 260358624 279644448 314600004 419466672 471900006 629200008 838933344 943800012 1258400016 1887600024 2516800032 3775200048 7550400096