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18420605840 = 2457132838941
BaseRepresentation
bin10001001001111101…
…000010001110010000
31202112202121201202202
4101021331002032100
5300211133341330
612243505302332
71221323365130
oct211175021620
952482551682
1018420605840
1178a2a5189a
1236a10349a8
131977407c90
14c6a636ac0
1572c28c445
hex449f42390

18420605840 has 160 divisors (see below), whose sum is σ = 52903447296. Its totient is φ = 5808568320.

The previous prime is 18420605789. The next prime is 18420605851. The reversal of 18420605840 is 4850602481.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18420605794 and 18420605803.

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, 2055770 + ... + 2064710.

Almost surely, 218420605840 is an apocalyptic number.

18420605840 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 18420605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26451723648).

18420605840 is an abundant number, since it is smaller than the sum of its proper divisors (34482841456).

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

18420605840 is a wasteful number, since it uses less digits than its factorization.

18420605840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9257 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 18420605840 in words is "eighteen billion, four hundred twenty million, six hundred five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 283 364 455 520 560 566 728 910 1040 1132 1415 1456 1820 1981 2264 2830 3640 3679 3962 4528 5660 7280 7358 7924 8941 9905 11320 14716 15848 17882 18395 19810 22640 25753 29432 31696 35764 36790 39620 44705 51506 58864 62587 71528 73580 79240 89410 103012 116233 125174 128765 143056 147160 158480 178820 206024 232466 250348 257530 294320 312935 357640 412048 464932 500696 515060 581165 625870 715280 813631 929864 1001392 1030120 1162330 1251740 1627262 1859728 2060240 2324660 2503480 2530303 3254524 4068155 4649320 5006960 5060606 6509048 8136310 9298640 10121212 12651515 13018096 16272620 17712121 20242424 25303030 32545240 32893939 35424242 40484848 50606060 65090480 65787878 70848484 88560605 101212120 131575756 141696968 164469695 177121210 202424240 230257573 263151512 283393936 328939390 354242420 460515146 526303024 657878780 708484840 921030292 1151287865 1315757560 1416969680 1842060584 2302575730 2631515120 3684121168 4605151460 9210302920 18420605840