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34632528016 = 242927335257
BaseRepresentation
bin100000010000010000…
…100111000010010000
310022101121012201010211
4200100100213002100
51031411411344031
623524315133504
72334140426302
oct402020470220
9108347181124
1034632528016
1113762182989
126866444294
13335c060c38
1419677b1972
15d7a694bb1
hex810427090

34632528016 has 60 divisors (see below), whose sum is σ = 70448093092. Its totient is φ = 16489654272.

The previous prime is 34632527999. The next prime is 34632528031. The reversal of 34632528016 is 61082523643.

It can be written as a sum of positive squares in 6 ways, for example, as 2469692416 + 32162835600 = 49696^2 + 179340^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34632528016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964660 + ... + 999916.

Almost surely, 234632528016 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 34632528016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35224046546).

34632528016 is an abundant number, since it is smaller than the sum of its proper divisors (35815565076).

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

34632528016 is a wasteful number, since it uses less digits than its factorization.

34632528016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35396 (or 35361 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 34632528016 in words is "thirty-four billion, six hundred thirty-two million, five hundred twenty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 29 58 73 116 146 232 292 464 584 841 1168 1682 2117 3364 4234 6728 8468 13456 16936 33872 35257 61393 70514 122786 141028 245572 282056 491144 564112 982288 1022453 2044906 2573761 4089812 5147522 8179624 10295044 16359248 20590088 29651137 41180176 59302274 74639069 118604548 149278138 237209096 298556276 474418192 597112552 1194225104 2164533001 4329066002 8658132004 17316264008 34632528016