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18140797680 = 24354114912373
BaseRepresentation
bin10000111001010001…
…101001101011110000
31201211021010000010120
4100321101221223300
5244123021011210
612200032130240
71211355143655
oct207121515360
951737100116
1018140797680
11776a009885
123623396980
131931459a15
14c413dbc2c
1571291b270
hex439469af0

18140797680 has 160 divisors (see below), whose sum is σ = 57999412800. Its totient is φ = 4687503360.

The previous prime is 18140797679. The next prime is 18140797709. The reversal of 18140797680 is 8679704181.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 1459974 + ... + 1472346.

It is an arithmetic number, because the mean of its divisors is an integer number (362496330).

Almost surely, 218140797680 is an apocalyptic number.

18140797680 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 18140797680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28999706400).

18140797680 is an abundant number, since it is smaller than the sum of its proper divisors (39858615120).

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

18140797680 is a wasteful number, since it uses less digits than its factorization.

18140797680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12579 (or 12573 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 18140797680 in words is "eighteen billion, one hundred forty million, seven hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 149 164 205 240 246 298 328 410 447 492 596 615 656 745 820 894 984 1192 1230 1490 1640 1788 1968 2235 2384 2460 2980 3280 3576 4470 4920 5960 6109 7152 8940 9840 11920 12218 12373 17880 18327 24436 24746 30545 35760 36654 37119 48872 49492 61090 61865 73308 74238 91635 97744 98984 122180 123730 146616 148476 183270 185595 197968 244360 247460 293232 296952 366540 371190 488720 494920 507293 593904 733080 742380 989840 1014586 1466160 1484760 1521879 1843577 2029172 2536465 2969520 3043758 3687154 4058344 5072930 5530731 6087516 7374308 7609395 8116688 9217885 10145860 11061462 12175032 14748616 15218790 18435770 20291720 22122924 24350064 27653655 29497232 30437580 36871540 40583440 44245848 55307310 60875160 73743080 75586657 88491696 110614620 121750320 147486160 151173314 221229240 226759971 302346628 377933285 442458480 453519942 604693256 755866570 907039884 1133799855 1209386512 1511733140 1814079768 2267599710 3023466280 3628159536 4535199420 6046932560 9070398840 18140797680