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10155066500 = 225361734561
BaseRepresentation
bin10010111010100101…
…00000010010000100
3222012201112211101002
421131102200102010
5131244144112000
64355402152432
7506436432605
oct113522402204
928181484332
1010155066500
1143412a7847
121b74ab2718
13c5ab714b7
146c49a9dac
153e67dd8d5
hex25d4a0484

10155066500 has 96 divisors (see below), whose sum is σ = 22856057952. Its totient is φ = 3939840000.

The previous prime is 10155066499. The next prime is 10155066529. The reversal of 10155066500 is 566055101.

It can be written as a sum of positive squares in 16 ways, for example, as 9670362244 + 484704256 = 98338^2 + 22016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2224220 + ... + 2228780.

It is an arithmetic number, because the mean of its divisors is an integer number (238083937).

Almost surely, 210155066500 is an apocalyptic number.

10155066500 is a gapful number since it is divisible by the number (10) 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 10155066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428028976).

10155066500 is an abundant number, since it is smaller than the sum of its proper divisors (12700991452).

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

10155066500 is a wasteful number, since it uses less digits than its factorization.

10155066500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 10155066500 in words is "ten billion, one hundred fifty-five million, sixty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 73 100 122 125 146 244 250 292 305 365 500 610 730 1220 1460 1525 1825 3050 3650 4453 4561 6100 7300 7625 8906 9122 9125 15250 17812 18244 18250 22265 22805 30500 36500 44530 45610 89060 91220 111325 114025 222650 228050 278221 332953 445300 456100 556442 556625 570125 665906 1112884 1113250 1140250 1331812 1391105 1664765 2226500 2280500 2782210 3329530 5564420 6659060 6955525 8323825 13911050 16647650 20310133 27822100 33295300 34777625 40620266 41619125 69555250 81240532 83238250 101550665 139110500 166476500 203101330 406202660 507753325 1015506650 2031013300 2538766625 5077533250 10155066500