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24106641400 = 235219317573
BaseRepresentation
bin10110011100110111…
…100010011111111000
32022020000220021012101
4112130313202133320
5343332300011100
615024024553144
71512246033232
oct263467423770
968200807171
1024106641400
11a250630536
1248093227b4
132372426a6a
141249879252
1596155886a
hex59cde27f8

24106641400 has 96 divisors (see below), whose sum is σ = 59164628400. Its totient is φ = 9134628480.

The previous prime is 24106641397. The next prime is 24106641439. The reversal of 24106641400 is 414660142.

It is a super-2 number, since 2×241066414002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363014 + ... + 1380586.

Almost surely, 224106641400 is an apocalyptic number.

24106641400 is a gapful number since it is divisible by the number (20) 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 24106641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29582314200).

24106641400 is an abundant number, since it is smaller than the sum of its proper divisors (35057987000).

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

24106641400 is a wasteful number, since it uses less digits than its factorization.

24106641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17646 (or 17599 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 24106641400 in words is "twenty-four billion, one hundred six million, six hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 475 722 760 950 1444 1805 1900 2888 3610 3800 6859 7220 9025 13718 14440 17573 18050 27436 34295 35146 36100 54872 68590 70292 72200 87865 137180 140584 171475 175730 274360 333887 342950 351460 439325 667774 685900 702920 878650 1335548 1371800 1669435 1757300 2671096 3338870 3514600 6343853 6677740 8347175 12687706 13355480 16694350 25375412 31719265 33388700 50750824 63438530 66777400 120533207 126877060 158596325 241066414 253754120 317192650 482132828 602666035 634385300 964265656 1205332070 1268770600 2410664140 3013330175 4821328280 6026660350 12053320700 24106641400