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18124138746 = 2337534312099
BaseRepresentation
bin10000111000010010…
…000110100011111010
31201210002202122101000
4100320102012203322
5244104234414441
612154235105430
71211063431440
oct207022064372
951702678330
1018124138746
11776067076a
1236198a2276
13192ab7626c
14c3d102b90
1571122a2b6
hex4384868fa

18124138746 has 128 divisors (see below), whose sum is σ = 47029248000. Its totient is φ = 5066418240.

The previous prime is 18124138687. The next prime is 18124138751. The reversal of 18124138746 is 64783142181.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8633605 + ... + 8635703.

It is an arithmetic number, because the mean of its divisors is an integer number (367416000).

Almost surely, 218124138746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18124138746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514624000).

18124138746 is an abundant number, since it is smaller than the sum of its proper divisors (28905109254).

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

18124138746 is a wasteful number, since it uses less digits than its factorization.

18124138746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2595 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 18124138746 in words is "eighteen billion, one hundred twenty-four million, one hundred thirty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 431 477 742 862 954 1113 1293 1431 2099 2226 2586 2862 3017 3339 3879 4198 6034 6297 6678 7758 9051 10017 11637 12594 14693 18102 18891 20034 22843 23274 27153 29386 37782 44079 45686 54306 56673 68529 81459 88158 111247 113346 132237 137058 159901 162918 205587 222494 264474 319802 333741 396711 411174 479703 616761 667482 778729 793422 904669 959406 1001223 1233522 1439109 1557458 1809338 2002446 2336187 2714007 2878218 3003669 4317327 4672374 5428014 6007338 6332683 7008561 8142021 8634654 12665366 14017122 16284042 18998049 21025683 24426063 37996098 42051366 47947457 48852126 56994147 95894914 113988294 143842371 170982441 287684742 335632199 341964882 431527113 671264398 863054226 1006896597 1294581339 2013793194 2589162678 3020689791 6041379582 9062069373 18124138746