Search a number
-
+
10025129040 = 243575155621
BaseRepresentation
bin10010101011000101…
…10101010001010000
3221212200001022200120
421111202311101100
5131012413112130
64334441150240
7503301122313
oct112542652120
927780038616
1010025129040
114284a18913
121b3948b380
13c39c78324
146b162497a
153da1c3910
hex2558b5450

10025129040 has 80 divisors (see below), whose sum is σ = 31119841536. Its totient is φ = 2669760000.

The previous prime is 10025129039. The next prime is 10025129083. The reversal of 10025129040 is 4092152001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10025129040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152430 + ... + 208050.

Almost surely, 210025129040 is an apocalyptic number.

10025129040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10025129040 is an abundant number, since it is smaller than the sum of its proper divisors (21094712496).

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

10025129040 is a wasteful number, since it uses less digits than its factorization.

10025129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56388 (or 56382 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 10025129040 in words is "ten billion, twenty-five million, one hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 751 1502 2253 3004 3755 4506 6008 7510 9012 11265 12016 15020 18024 22530 30040 36048 45060 55621 60080 90120 111242 166863 180240 222484 278105 333726 444968 556210 667452 834315 889936 1112420 1334904 1668630 2224840 2669808 3337260 4449680 6674520 13349040 41771371 83542742 125314113 167085484 208856855 250628226 334170968 417713710 501256452 626570565 668341936 835427420 1002512904 1253141130 1670854840 2005025808 2506282260 3341709680 5012564520 10025129040