Search a number
-
+
104151002880 = 283583326779
BaseRepresentation
bin110000011111111100…
…0100010111100000000
3100221211110111010201010
41200333320202330000
53201300124043010
6115502445240520
710344646626501
oct1407770427400
9327743433633
10104151002880
1140196586aa1
1218227b63140
139a8a7c1672
145080480ba8
152a9888b620
hex183fe22f00

104151002880 has 144 divisors (see below), whose sum is σ = 336640913280. Its totient is φ = 27438895104.

The previous prime is 104151002873. The next prime is 104151002929. The reversal of 104151002880 is 88200151401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155331 + ... + 482109.

It is an arithmetic number, because the mean of its divisors is an integer number (2337784120).

Almost surely, 2104151002880 is an apocalyptic number.

104151002880 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 104151002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168320456640).

104151002880 is an abundant number, since it is smaller than the sum of its proper divisors (232489910400).

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

104151002880 is an equidigital number, since it uses as much as digits as its factorization.

104151002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326886 (or 326872 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The spelling of 104151002880 in words is "one hundred four billion, one hundred fifty-one million, two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 256 320 332 384 415 480 498 640 664 768 830 960 996 1245 1280 1328 1660 1920 1992 2490 2656 3320 3840 3984 4980 5312 6640 7968 9960 10624 13280 15936 19920 21248 26560 31872 39840 53120 63744 79680 106240 159360 318720 326779 653558 980337 1307116 1633895 1960674 2614232 3267790 3921348 4901685 5228464 6535580 7842696 9803370 10456928 13071160 15685392 19606740 20913856 26142320 27122657 31370784 39213480 41827712 52284640 54245314 62741568 78426960 81367971 83655424 104569280 108490628 125483136 135613285 156853920 162735942 209138560 216981256 250966272 271226570 313707840 325471884 406839855 418277120 433962512 542453140 627415680 650943768 813679710 867925024 1084906280 1254831360 1301887536 1627359420 1735850048 2169812560 2603775072 3254718840 3471700096 4339625120 5207550144 6509437680 6943400192 8679250240 10415100288 13018875360 17358500480 20830200576 26037750720 34717000960 52075501440 104151002880