Search a number
-
+
108402035850 = 232521036073853
BaseRepresentation
bin110010011110101000…
…0111100110010001010
3101100210201112222122200
41210331100330302022
53234001410121400
6121444343501030
710555206046563
oct1447520746212
9340721488580
10108402035850
1141a78139a89
1219013757776
13a2b74279a4
145364c9d16a
152c46b9bb00
hex193d43cc8a

108402035850 has 144 divisors (see below), whose sum is σ = 294628618752. Its totient is φ = 28571978880.

The previous prime is 108402035803. The next prime is 108402035869. The reversal of 108402035850 is 58530204801.

It is a happy number.

108402035850 is a `hidden beast` number, since 10 + 8 + 40 + 20 + 3 + 585 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28132524 + ... + 28136376.

Almost surely, 2108402035850 is an apocalyptic number.

108402035850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108402035850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147314309376).

108402035850 is an abundant number, since it is smaller than the sum of its proper divisors (186226582902).

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

108402035850 is a wasteful number, since it uses less digits than its factorization.

108402035850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 108402035850 in words is "one hundred eight billion, four hundred two million, thirty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 103 150 206 225 309 450 515 607 618 927 1030 1214 1545 1821 1854 2575 3035 3090 3642 3853 4635 5150 5463 6070 7706 7725 9105 9270 10926 11559 15175 15450 18210 19265 23118 23175 27315 30350 34677 38530 45525 46350 54630 57795 62521 69354 91050 96325 115590 125042 136575 173385 187563 192650 273150 288975 312605 346770 375126 396859 562689 577950 625210 793718 866925 937815 1125378 1190577 1563025 1733850 1875630 1984295 2338771 2381154 2813445 3126050 3571731 3968590 4677542 4689075 5626890 5952885 7016313 7143462 9378150 9921475 11693855 11905770 14032626 14067225 17858655 19842950 21048939 23387710 28134450 29764425 35081565 35717310 42097878 58469275 59528850 70163130 89293275 105244695 116938550 175407825 178586550 210489390 240893413 350815650 481786826 526223475 722680239 1052446950 1204467065 1445360478 2168040717 2408934130 3613401195 4336081434 6022335325 7226802390 10840203585 12044670650 18067005975 21680407170 36134011950 54201017925 108402035850