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3925165140 = 22325139717293
BaseRepresentation
bin1110100111110101…
…0100010001010100
3101010112220001022200
43221331110101110
531014320241030
61445253524500
7166161232101
oct35175242124
911115801280
103925165140
111734720736
12916643730
134a727c330
14293433aa8
1517e8e1d60
hexe9f54454

3925165140 has 144 divisors (see below), whose sum is σ = 12955142928. Its totient is φ = 956178432.

The previous prime is 3925165129. The next prime is 3925165169. The reversal of 3925165140 is 415615293.

3925165140 is a `hidden beast` number, since 3 + 92 + 51 + 6 + 514 + 0 = 666.

3925165140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1186526916 + 2738638224 = 34446^2 + 52332^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3925165095 and 3925165104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218334 + ... + 235626.

Almost surely, 23925165140 is an apocalyptic number.

3925165140 is a gapful number since it is divisible by the number (30) 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 3925165140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477571464).

3925165140 is an abundant number, since it is smaller than the sum of its proper divisors (9029977788).

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

3925165140 is a wasteful number, since it uses less digits than its factorization.

3925165140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17418 (or 17413 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3925165140 is about 62651.1383775267. The cubic root of 3925165140 is about 1577.4392558170.

The spelling of 3925165140 in words is "three billion, nine hundred twenty-five million, one hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 97 117 130 156 180 194 195 234 260 291 388 390 468 485 582 585 780 873 970 1164 1170 1261 1455 1746 1940 2340 2522 2910 3492 3783 4365 5044 5820 6305 7566 8730 11349 12610 15132 17293 17460 18915 22698 25220 34586 37830 45396 51879 56745 69172 75660 86465 103758 113490 155637 172930 207516 224809 226980 259395 311274 345860 449618 518790 622548 674427 778185 899236 1037580 1124045 1348854 1556370 1677421 2023281 2248090 2697708 3112740 3354842 3372135 4046562 4496180 5032263 6709684 6744270 8093124 8387105 10064526 10116405 13488540 15096789 16774210 20129052 20232810 21806473 25161315 30193578 33548420 40465620 43612946 50322630 60387156 65419419 75483945 87225892 100645260 109032365 130838838 150967890 196258257 218064730 261677676 301935780 327097095 392516514 436129460 654194190 785033028 981291285 1308388380 1962582570 3925165140