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24082000000 = 275612041
BaseRepresentation
bin10110011011011001…
…100010100010000000
32022011022112100112221
4112123121202202000
5343304443000000
615021344500424
71511526423352
oct263331424200
968138470487
1024082000000
11a238730043
12480101a714
13236a2a9b56
1412464a30d2
1595e2dc61a
hex59b662880

24082000000 has 112 divisors (see below), whose sum is σ = 59974037010. Its totient is φ = 9632000000.

The previous prime is 24081999967. The next prime is 24082000021. The reversal of 24082000000 is 28042.

It can be written as a sum of positive squares in 7 ways, for example, as 11197025856 + 12884974144 = 105816^2 + 113512^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1993980 + ... + 2006020.

Almost surely, 224082000000 is an apocalyptic number.

24082000000 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 24082000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29987018505).

24082000000 is an abundant number, since it is smaller than the sum of its proper divisors (35892037010).

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

24082000000 is an frugal number, since it uses more digits than its factorization.

24082000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12085 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 24082000000 its reverse (28042), we get a palindrome (24082028042).

The spelling of 24082000000 in words is "twenty-four billion, eighty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12041 12500 15625 16000 20000 24082 25000 31250 40000 48164 50000 60205 62500 80000 96328 100000 120410 125000 192656 200000 240820 250000 301025 385312 400000 481640 500000 602050 770624 963280 1000000 1204100 1505125 1541248 1926560 2000000 2408200 3010250 3853120 4816400 6020500 7525625 7706240 9632800 12041000 15051250 19265600 24082000 30102500 37628125 38531200 48164000 60205000 75256250 96328000 120410000 150512500 188140625 192656000 240820000 301025000 376281250 481640000 602050000 752562500 963280000 1204100000 1505125000 2408200000 3010250000 4816400000 6020500000 12041000000 24082000000