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201716601152 = 26111217235439
BaseRepresentation
bin1011101111011100111…
…1110001000101000000
3201021122222101001120212
42323313033301011000
511301103422214102
6232400050453252
720400503551043
oct2736717610500
9637588331525
10201716601152
1178602843040
1233116594228
1316038b5bac1
149a98088c5a
1553a9006c52
hex2ef73f1140

201716601152 has 56 divisors (see below), whose sum is σ = 437031262080. Its totient is φ = 91613634560.

The previous prime is 201716601131. The next prime is 201716601169. The reversal of 201716601152 is 251106617102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 739049 + ... + 974487.

It is an arithmetic number, because the mean of its divisors is an integer number (7804129680).

Almost surely, 2201716601152 is an apocalyptic number.

201716601152 is a gapful number since it is divisible by the number (22) 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 201716601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218515631040).

201716601152 is an abundant number, since it is smaller than the sum of its proper divisors (235314660928).

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

201716601152 is a wasteful number, since it uses less digits than its factorization.

201716601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236679 (or 236669 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 201716601152 in words is "two hundred one billion, seven hundred sixteen million, six hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1217 2434 4868 9736 13387 19472 26774 38944 53548 77888 107096 214192 235439 428384 470878 856768 941756 1883512 2589829 3767024 5179658 7534048 10359316 15068096 20718632 41437264 82874528 165749056 286529263 573058526 1146117052 2292234104 3151821893 4584468208 6303643786 9168936416 12607287572 18337872832 25214575144 50429150288 100858300576 201716601152