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2146663036420 = 2257172376114107
BaseRepresentation
bin11111001111001111000…
…101100111011000000100
321121012220122020001100221
4133033033011213120010
5240132331214131140
64322055142514124
7311043211513360
oct37171705473004
97535818201327
102146663036420
117584383588a1
122a8055135944
1312757768ba66
1475c82da22a0
153ac8db5714a
hex1f3cf167604

2146663036420 has 144 divisors (see below), whose sum is σ = 5474719780992. Its totient is φ = 692471439360.

The previous prime is 2146663036381. The next prime is 2146663036421. The reversal of 2146663036420 is 246303666412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2146663036421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152163007 + ... + 152177113.

It is an arithmetic number, because the mean of its divisors is an integer number (38018887368).

Almost surely, 22146663036420 is an apocalyptic number.

2146663036420 is a gapful number since it is divisible by the number (20) 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 2146663036420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737359890496).

2146663036420 is an abundant number, since it is smaller than the sum of its proper divisors (3328056744572).

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

2146663036420 is a wasteful number, since it uses less digits than its factorization.

2146663036420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17918 (or 17899 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 43.

The spelling of 2146663036420 in words is "two trillion, one hundred forty-six billion, six hundred sixty-three million, thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 289 340 476 578 595 1156 1190 1445 2023 2380 2890 3761 4046 5780 7522 8092 10115 14107 15044 18805 20230 26327 28214 37610 40460 52654 56428 63937 70535 75220 98749 105308 127874 131635 141070 197498 239819 255748 263270 282140 319685 394996 447559 479638 493745 526540 639370 895118 959276 987490 1086929 1199095 1278740 1678733 1790236 1974980 2173858 2237795 2398190 3357466 4076923 4347716 4475590 4796380 5434645 6714932 7608503 8153846 8393665 8951180 10869290 15217006 16307692 16787330 20384615 21738580 28538461 30434012 33574660 38042515 40769230 53056427 57076922 76085030 81538460 106112854 114153844 142692305 152170060 212225708 265282135 285384610 371394989 530564270 570769220 742789978 901959259 1061128540 1485579956 1803918518 1856974945 3607837036 3713949890 4509796295 6313714813 7427899780 9019592590 12627429626 15333307403 18039185180 25254859252 30666614806 31568574065 61333229612 63137148130 76666537015 107333151821 126274296260 153333074030 214666303642 306666148060 429332607284 536665759105 1073331518210 2146663036420