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18953298000 = 24335372131929
BaseRepresentation
bin10001101001101101…
…000110000001010000
31210220212222022001000
4101221231012001100
5302304021014000
612412414542000
71240452242400
oct215155060120
953825868030
1018953298000
11804670834a
12380b507900
131a30898540
14cbb29c800
1575de12000
hex469b46050

18953298000 has 1920 divisors, whose sum is σ = 92619072000. Its totient is φ = 3657830400.

The previous prime is 18953297969. The next prime is 18953298031. The reversal of 18953298000 is 89235981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18953297969) and next prime (18953298031).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 653561986 + ... + 653562014.

It is an arithmetic number, because the mean of its divisors is an integer number (48239100).

Almost surely, 218953298000 is an apocalyptic number.

18953298000 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 18953298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536000).

18953298000 is an abundant number, since it is smaller than the sum of its proper divisors (73665774000).

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

18953298000 is a wasteful number, since it uses less digits than its factorization.

18953298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 18953298000 in words is "eighteen billion, nine hundred fifty-three million, two hundred ninety-eight thousand".