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18400030320 = 2435737329363
BaseRepresentation
bin10001001000101110…
…100010111001110000
31202111022220101110110
4101020232202321300
5300140401432240
612241452301320
71220653451160
oct211056427160
952438811413
1018400030320
117892379131
123696171840
131973082909
14c679dc5a0
1572a575c80
hex448ba2e70

18400030320 has 160 divisors (see below), whose sum is σ = 65365673472. Its totient is φ = 4194302976.

The previous prime is 18400030303. The next prime is 18400030391. The reversal of 18400030320 is 2303000481.

It is a happy number.

It is a super-2 number, since 2×184000303202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 611959 + ... + 641321.

Almost surely, 218400030320 is an apocalyptic number.

18400030320 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 18400030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32682836736).

18400030320 is an abundant number, since it is smaller than the sum of its proper divisors (46965643152).

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

18400030320 is a wasteful number, since it uses less digits than its factorization.

18400030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29759 (or 29753 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 18400030320 in words is "eighteen billion, four hundred million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 373 420 560 746 840 1119 1492 1680 1865 2238 2611 2984 3730 4476 5222 5595 5968 7460 7833 8952 10444 11190 13055 14920 15666 17904 20888 22380 26110 29363 29840 31332 39165 41776 44760 52220 58726 62664 78330 88089 89520 104440 117452 125328 146815 156660 176178 205541 208880 234904 293630 313320 352356 411082 440445 469808 587260 616623 626640 704712 822164 880890 1027705 1174520 1233246 1409424 1644328 1761780 2055410 2349040 2466492 3083115 3288656 3523560 4110820 4932984 6166230 7047120 8221640 9865968 10952399 12332460 16443280 21904798 24664920 32857197 43809596 49329840 54761995 65714394 76666793 87619192 109523990 131428788 153333586 164285985 175238384 219047980 230000379 262857576 306667172 328571970 383333965 438095960 460000758 525715152 613334344 657143940 766667930 876191920 920001516 1150001895 1226668688 1314287880 1533335860 1840003032 2300003790 2628575760 3066671720 3680006064 4600007580 6133343440 9200015160 18400030320