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18993643440 = 2435591341359
BaseRepresentation
bin10001101100000110…
…111111111110110000
31211000200220001120120
4101230012333332300
5302344333042230
612420415410240
71241452206522
oct215406777660
954020801516
1018993643440
118067464492
123820b23980
131a39053395
14cc27a1a12
15762731310
hex46c1bffb0

18993643440 has 80 divisors (see below), whose sum is σ = 59878310400. Its totient is φ = 4979120896.

The previous prime is 18993643423. The next prime is 18993643457. The reversal of 18993643440 is 4434639981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18993643423) and next prime (18993643457).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×189936434402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656520 + ... + 684839.

It is an arithmetic number, because the mean of its divisors is an integer number (748478880).

Almost surely, 218993643440 is an apocalyptic number.

18993643440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18993643440 is an abundant number, since it is smaller than the sum of its proper divisors (40884666960).

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

18993643440 is a wasteful number, since it uses less digits than its factorization.

18993643440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341434 (or 1341428 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 18993643440 in words is "eighteen billion, nine hundred ninety-three million, six hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 1341359 2682718 4024077 5365436 6706795 8048154 10730872 13413590 16096308 20120385 21461744 26827180 32192616 40240770 53654360 64385232 79140181 80481540 107308720 158280362 160963080 237420543 316560724 321926160 395700905 474841086 633121448 791401810 949682172 1187102715 1266242896 1582803620 1899364344 2374205430 3165607240 3798728688 4748410860 6331214480 9496821720 18993643440