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165104587328 = 2629378812729
BaseRepresentation
bin1001100111000100000…
…0000001001001000000
3120210011102102001101212
42121301000001021000
510201113233243303
6203503100145252
714633305560002
oct2316100011100
9523142361355
10165104587328
116402526517a
1227bb9238228
1312752986cb5
147dc383c372
154464ba2ad8
hex2671001240

165104587328 has 112 divisors (see below), whose sum is σ = 348609970800. Its totient is φ = 77435043840.

The previous prime is 165104587327. The next prime is 165104587343. The reversal of 165104587328 is 823785401561.

It can be written as a sum of positive squares in 8 ways, for example, as 20485624384 + 144618962944 = 143128^2 + 380288^2 .

It is not an unprimeable number, because it can be changed into a prime (165104587327) 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, 60498668 + ... + 60501396.

It is an arithmetic number, because the mean of its divisors is an integer number (3112589025).

Almost surely, 2165104587328 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 165104587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174304985400).

165104587328 is an abundant number, since it is smaller than the sum of its proper divisors (183505383472).

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

165104587328 is a wasteful number, since it uses less digits than its factorization.

165104587328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

Adding to 165104587328 its reverse (823785401561), we get a palindrome (988889988889).

The spelling of 165104587328 in words is "one hundred sixty-five billion, one hundred four million, five hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 148 232 296 464 592 881 928 1073 1184 1762 1856 2146 2368 2729 3524 4292 5458 7048 8584 10916 14096 17168 21832 25549 28192 32597 34336 43664 51098 56384 65194 68672 79141 87328 100973 102196 130388 158282 174656 201946 204392 260776 316564 403892 408784 521552 633128 807784 817568 945313 1043104 1266256 1615568 1635136 1890626 2086208 2404249 2532512 2928217 3231136 3781252 4808498 5065024 5856434 6462272 7562504 9616996 11712868 15125008 19233992 23425736 30250016 38467984 46851472 60500032 69723221 76935968 88957213 93702944 139446442 153871936 177914426 187405888 278892884 355828852 557785768 711657704 1115571536 1423315408 2231143072 2579759177 2846630816 4462286144 5159518354 5693261632 10319036708 20638073416 41276146832 82552293664 165104587328