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18993910428 = 22333141138371
BaseRepresentation
bin10001101100001000…
…000001001010011100
31211000201101121211000
4101230020001022130
5302344420113203
612420425230300
71241454401103
oct215410011234
954021347730
1018993910428
118067627039
123821032390
131a39117a6c
14cc283103a
157627854a3
hex46c20129c

18993910428 has 96 divisors (see below), whose sum is σ = 52072151040. Its totient is φ = 5977584000.

The previous prime is 18993910417. The next prime is 18993910477. The reversal of 18993910428 is 82401939981.

18993910428 is a `hidden beast` number, since 189 + 9 + 39 + 1 + 0 + 428 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68083 + ... + 206453.

It is an arithmetic number, because the mean of its divisors is an integer number (542418240).

Almost surely, 218993910428 is an apocalyptic number.

18993910428 is a gapful number since it is divisible by the number (18) 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 18993910428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26036075520).

18993910428 is an abundant number, since it is smaller than the sum of its proper divisors (33078240612).

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

18993910428 is a wasteful number, since it uses less digits than its factorization.

18993910428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138456 (or 138448 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 18993910428 in words is "eighteen billion, nine hundred ninety-three million, nine hundred ten thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 82 93 108 123 124 164 186 246 279 369 372 492 558 738 837 1107 1116 1271 1476 1674 2214 2542 3348 3813 4428 5084 7626 11439 15252 22878 34317 45756 68634 137268 138371 276742 415113 553484 830226 1245339 1660452 2490678 3736017 4289501 4981356 5673211 7472034 8579002 11346422 12868503 14944068 17019633 17158004 22692844 25737006 34039266 38605509 51058899 51474012 68078532 77211018 102117798 115816527 153176697 154422036 175869541 204235596 231633054 306353394 351739082 463266108 527608623 612706788 703478164 1055217246 1582825869 2110434492 3165651738 4748477607 6331303476 9496955214 18993910428