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107228595328 = 2737179126487
BaseRepresentation
bin110001111011101010…
…0101000010010000000
3101020202221112000212121
41203313110220102000
53224101010022303
6121132104534024
710514140010311
oct1436724502200
9336687460777
10107228595328
1141525823828
1218946781314
13a15b2a249a
1452930c4608
152bc8b5a9bd
hex18f7528480

107228595328 has 64 divisors (see below), whose sum is σ = 220620369600. Its totient is φ = 51873426432.

The previous prime is 107228595317. The next prime is 107228595367. The reversal of 107228595328 is 823595822701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1072285953282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 784501 + ... + 910987.

It is an arithmetic number, because the mean of its divisors is an integer number (3447193275).

Almost surely, 2107228595328 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 107228595328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110310184800).

107228595328 is an abundant number, since it is smaller than the sum of its proper divisors (113391774272).

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

107228595328 is a wasteful number, since it uses less digits than its factorization.

107228595328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126717 (or 126705 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 107228595328 in words is "one hundred seven billion, two hundred twenty-eight million, five hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 179 296 358 592 716 1184 1432 2368 2864 4736 5728 6623 11456 13246 22912 26492 52984 105968 126487 211936 252974 423872 505948 847744 1011896 2023792 4047584 4680019 8095168 9360038 16190336 18720076 22641173 37440152 45282346 74880304 90564692 149760608 181129384 299521216 362258768 599042432 724517536 837723401 1449035072 1675446802 2898070144 3350893604 6701787208 13403574416 26807148832 53614297664 107228595328