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18398039976 = 2334157193937
BaseRepresentation
bin10001001000100110…
…111100111110101000
31202111012011021020000
4101020212330332220
5300134344234401
612241341503000
71220630521341
oct211046747650
952435137200
1018398039976
117891239818
123695571a60
1319728369b4
14c676410c8
1572a2d1186
hex4489bcfa8

18398039976 has 160 divisors (see below), whose sum is σ = 52184110440. Its totient is φ = 6055575552.

The previous prime is 18398039971. The next prime is 18398039981. The reversal of 18398039976 is 67993089381.

It is an interprime number because it is at equal distance from previous prime (18398039971) and next prime (18398039981).

It can be written as a sum of positive squares in 4 ways, for example, as 6900624900 + 11497415076 = 83070^2 + 107226^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18398039971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19634580 + ... + 19635516.

Almost surely, 218398039976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18398039976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26092055220).

18398039976 is an abundant number, since it is smaller than the sum of its proper divisors (33786070464).

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

18398039976 is a wasteful number, since it uses less digits than its factorization.

18398039976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 18398039976 in words is "eighteen billion, three hundred ninety-eight million, thirty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 193 216 314 324 386 471 579 628 648 772 937 942 1158 1256 1413 1544 1737 1874 1884 2316 2811 2826 3474 3748 3768 4239 4632 5211 5622 5652 6948 7496 8433 8478 10422 11244 11304 12717 13896 15633 16866 16956 20844 22488 25299 25434 30301 31266 33732 33912 41688 50598 50868 60602 62532 67464 75897 90903 101196 101736 121204 125064 147109 151794 180841 181806 202392 242408 272709 294218 303588 361682 363612 441327 542523 545418 588436 607176 723364 727224 818127 882654 1085046 1090836 1176872 1323981 1446728 1627569 1636254 1765308 2170092 2181672 2454381 2647962 3255138 3272508 3530616 3971943 4340184 4882707 4908762 5295924 6510276 6545016 7943886 9765414 9817524 10591848 11915829 13020552 14648121 15887772 19530828 19635048 23831658 28392037 29296242 31775544 39061656 47663316 56784074 58592484 85176111 95326632 113568148 117184968 170352222 227136296 255528333 340704444 511056666 681408888 766584999 1022113332 1533169998 2044226664 2299754997 3066339996 4599509994 6132679992 9199019988 18398039976