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16147713088 = 261361373853
BaseRepresentation
bin11110000100111101…
…01000110001000000
31112200100202211001201
433002132220301000
5231032303304323
611230153310544
71111104203503
oct170236506100
945610684051
1016147713088
116936a65931
123167a05454
1316a4564220
14ad282313a
156479728ad
hex3c27a8c40

16147713088 has 112 divisors (see below), whose sum is σ = 35208937456. Its totient is φ = 7302389760.

The previous prime is 16147713083. The next prime is 16147713133. The reversal of 16147713088 is 88031774161.

It can be written as a sum of positive squares in 8 ways, for example, as 7452523584 + 8695189504 = 86328^2 + 93248^2 .

It is not an unprimeable number, because it can be changed into a prime (16147713083) 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, 18930070 + ... + 18930922.

It is an arithmetic number, because the mean of its divisors is an integer number (314365513).

Almost surely, 216147713088 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 16147713088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604468728).

16147713088 is an abundant number, since it is smaller than the sum of its proper divisors (19061224368).

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

16147713088 is a wasteful number, since it uses less digits than its factorization.

16147713088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 16147713088 in words is "sixteen billion, one hundred forty-seven million, seven hundred thirteen thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 208 244 373 416 488 746 793 832 853 976 1492 1586 1706 1952 2984 3172 3412 3904 4849 5968 6344 6824 9698 11089 11936 12688 13648 19396 22178 22753 23872 25376 27296 38792 44356 45506 50752 52033 54592 77584 88712 91012 104066 155168 177424 182024 208132 295789 310336 318169 354848 364048 416264 591578 636338 676429 709696 728096 832528 1183156 1272676 1352858 1456192 1665056 2366312 2545352 2705716 3330112 4136197 4732624 5090704 5411432 8272394 9465248 10181408 10822864 16544788 18930496 19408309 20362816 21645728 33089576 38816618 43291456 66179152 77633236 132358304 155266472 252308017 264716608 310532944 504616034 621065888 1009232068 1242131776 2018464136 4036928272 8073856544 16147713088