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18400374540 = 22325372762819
BaseRepresentation
bin10001001000101111…
…110110111100001100
31202111100112212122100
4101020233312330030
5300140443441130
612241503515100
71220656413552
oct211057667414
952440485570
1018400374540
117892593809
1236962b8a90
1319731734b2
14c67a8bbd2
1572a5e2c60
hex448bf6f0c

18400374540 has 72 divisors (see below), whose sum is σ = 57322989360. Its totient is φ = 4774149504.

The previous prime is 18400374533. The next prime is 18400374547. The reversal of 18400374540 is 4547300481.

18400374540 is a `hidden beast` number, since 1 + 8 + 40 + 0 + 3 + 74 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (18400374533) and next prime (18400374547).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18400374495 and 18400374504.

It is not an unprimeable number, because it can be changed into a prime (18400374547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374750 + ... + 1388069.

It is an arithmetic number, because the mean of its divisors is an integer number (796152630).

Almost surely, 218400374540 is an apocalyptic number.

18400374540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18400374540 is an abundant number, since it is smaller than the sum of its proper divisors (38922614820).

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

18400374540 is a wasteful number, since it uses less digits than its factorization.

18400374540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762871 (or 2762866 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 18400374540 in words is "eighteen billion, four hundred million, three hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 2762819 5525638 8288457 11051276 13814095 16576914 24865371 27628190 33153828 41442285 49730742 55256380 82884570 99461484 102224303 124326855 165769140 204448606 248653710 306672909 408897212 497307420 511121515 613345818 920018727 1022243030 1226691636 1533364545 1840037454 2044486060 3066729090 3680074908 4600093635 6133458180 9200187270 18400374540