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10152066288 = 2437132324191
BaseRepresentation
bin10010111010001110…
…00011110011110000
3222012111220101212010
421131013003303300
5131242412110123
64355214002520
7506402065620
oct113507036360
928174811763
1010152066288
11433a638731
121b73aa6440
13c5a360a20
146c4428880
153e63e9993
hex25d1c3cf0

10152066288 has 80 divisors (see below), whose sum is σ = 32278378496. Its totient is φ = 2677466880.

The previous prime is 10152066283. The next prime is 10152066289. The reversal of 10152066288 is 88266025101.

10152066288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152066283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157728 + ... + 1166463.

Almost surely, 210152066288 is an apocalyptic number.

It is an amenable number.

10152066288 is an abundant number, since it is smaller than the sum of its proper divisors (22126312208).

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

10152066288 is a wasteful number, since it uses less digits than its factorization.

10152066288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324222 (or 2324216 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 10152066288 in words is "ten billion, one hundred fifty-two million, sixty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 2324191 4648382 6972573 9296764 13945146 16269337 18593528 27890292 30214483 32538674 37187056 48808011 55780584 60428966 65077348 90643449 97616022 111561168 120857932 130154696 181286898 195232044 211501381 241715864 260309392 362573796 390464088 423002762 483431728 634504143 725147592 780928176 846005524 1269008286 1450295184 1692011048 2538016572 3384022096 5076033144 10152066288