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4130195080 = 23511291731871
BaseRepresentation
bin1111011000101101…
…1100011010001000
3101122211200122112011
43312023130122020
531424312220310
61521500225304
7204231036034
oct36613343210
911584618464
104130195080
11182a429770
1297323b234
1350a8a7c1b
142b27651c4
151928e178a
hexf62dc688

4130195080 has 128 divisors (see below), whose sum is σ = 10553587200. Its totient is φ = 1440947200.

The previous prime is 4130195071. The next prime is 4130195093. The reversal of 4130195080 is 805910314.

4130195080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41301950802 = 34117022797712412800, which contains 22 as substring.

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, 2206545 + ... + 2208415.

It is an arithmetic number, because the mean of its divisors is an integer number (82449900).

Almost surely, 24130195080 is an apocalyptic number.

4130195080 is a gapful number since it is divisible by the number (40) 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 4130195080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276793600).

4130195080 is an abundant number, since it is smaller than the sum of its proper divisors (6423392120).

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

4130195080 is a wasteful number, since it uses less digits than its factorization.

4130195080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 4130195080 is about 64266.5938104705. The cubic root of 4130195080 is about 1604.4401511381.

The spelling of 4130195080 in words is "four billion, one hundred thirty million, one hundred ninety-five thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 173 220 232 290 319 346 440 580 638 692 865 1160 1276 1384 1595 1730 1871 1903 2552 3190 3460 3742 3806 5017 6380 6920 7484 7612 9355 9515 10034 12760 14968 15224 18710 19030 20068 20581 25085 37420 38060 40136 41162 50170 54259 55187 74840 76120 82324 100340 102905 108518 110374 164648 200680 205810 217036 220748 271295 275935 323683 411620 434072 441496 542590 551870 596849 647366 823240 1085180 1103740 1193698 1294732 1618415 2170360 2207480 2387396 2589464 2984245 3236830 3560513 4774792 5968490 6473660 7121026 9386807 11936980 12947320 14242052 17802565 18773614 23873960 28484104 35605130 37547228 46934035 71210260 75094456 93868070 103254877 142420520 187736140 206509754 375472280 413019508 516274385 826039016 1032548770 2065097540 4130195080