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18436718440 = 2357230672
BaseRepresentation
bin10001001010111010…
…011111111101101000
31202120212221100002201
4101022322133331220
5300224244442230
612245242505544
71221610343500
oct211272377550
952525840081
1018436718440
117901057498
1236a65052b4
13197a859b6a
14c6c82ca00
1572d8c15ca
hex44ae9ff68

18436718440 has 72 divisors (see below), whose sum is σ = 48271027410. Its totient is φ = 6319099584.

The previous prime is 18436718437. The next prime is 18436718453. The reversal of 18436718440 is 4481763481.

It can be written as a sum of positive squares in only one way, i.e., 16593046596 + 1843671844 = 128814^2 + 42938^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6009787 + ... + 6012853.

Almost surely, 218436718440 is an apocalyptic number.

18436718440 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 18436718440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24135513705).

18436718440 is an abundant number, since it is smaller than the sum of its proper divisors (29834308970).

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

18436718440 is an frugal number, since it uses more digits than its factorization.

18436718440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6159 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 18436718440 in words is "eighteen billion, four hundred thirty-six million, seven hundred eighteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 3067 6134 12268 15335 21469 24536 30670 42938 61340 85876 107345 122680 150283 171752 214690 300566 429380 601132 751415 858760 1202264 1502830 3005660 6011320 9406489 18812978 37625956 47032445 65845423 75251912 94064890 131690846 188129780 263381692 329227115 376259560 460917961 526763384 658454230 921835922 1316908460 1843671844 2304589805 2633816920 3687343688 4609179610 9218359220 18436718440