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18012723040 = 2551321574243
BaseRepresentation
bin10000110001101001…
…000101011101100000
31201111100010010202101
4100301221011131200
5243342224114130
612135215100144
71205241422344
oct206151053540
951440103671
1018012723040
117703792474
1235a8511654
131910a66700
14c2c3bd624
1570656d1ca
hex431a45760

18012723040 has 144 divisors (see below), whose sum is σ = 46384764048. Its totient is φ = 6606931968.

The previous prime is 18012723017. The next prime is 18012723041. The reversal of 18012723040 is 4032721081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18012723041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4243159 + ... + 4247401.

It is an arithmetic number, because the mean of its divisors is an integer number (322116417).

Almost surely, 218012723040 is an apocalyptic number.

18012723040 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 18012723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23192382024).

18012723040 is an abundant number, since it is smaller than the sum of its proper divisors (28372041008).

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

18012723040 is a wasteful number, since it uses less digits than its factorization.

18012723040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 18012723040 in words is "eighteen billion, twelve million, seven hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 157 160 169 208 260 314 338 416 520 628 676 785 845 1040 1256 1352 1570 1690 2041 2080 2512 2704 3140 3380 4082 4243 5024 5408 6280 6760 8164 8486 10205 12560 13520 16328 16972 20410 21215 25120 26533 27040 32656 33944 40820 42430 53066 55159 65312 67888 81640 84860 106132 110318 132665 135776 163280 169720 212264 220636 265330 275795 326560 339440 424528 441272 530660 551590 666151 678880 717067 849056 882544 1061320 1103180 1332302 1434134 1765088 2122640 2206360 2664604 2868268 3330755 3585335 4245280 4412720 5329208 5736536 6661510 7170670 8659963 8825440 10658416 11473072 13323020 14341340 17319926 21316832 22946144 26646040 28682680 34639852 43299815 53292080 57365360 69279704 86599630 106584160 112579519 114730720 138559408 173199260 225159038 277118816 346398520 450318076 562897595 692797040 900636152 1125795190 1385594080 1801272304 2251590380 3602544608 4503180760 9006361520 18012723040