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18420651143136 = 25321135537163621
BaseRepresentation
bin1000011000000111001000…
…10111100010111111100000
32102012222220211221210101200
410030003210113202333200
54403300443143040021
6103102155203001200
73610563623156124
oct414034427427740
972188824853350
1018420651143136
1159621773880a0
122096066969200
13a380a1929a28
144797c8513584
1521e26b78e126
hex10c0e45e2fe0

18420651143136 has 144 divisors (see below), whose sum is σ = 57147840994608. Its totient is φ = 5581824307200.

The previous prime is 18420651143131. The next prime is 18420651143149. The reversal of 18420651143136 is 63134115602481.

It is a happy number.

18420651143136 is a `hidden beast` number, since 1 + 8 + 4 + 206 + 5 + 1 + 1 + 431 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 18420651143091 and 18420651143100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18420651143131) 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, 112499406 + ... + 112663026.

It is an arithmetic number, because the mean of its divisors is an integer number (396860006907).

Almost surely, 218420651143136 is an apocalyptic number.

18420651143136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18420651143136 is an abundant number, since it is smaller than the sum of its proper divisors (38727189851472).

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

18420651143136 is a wasteful number, since it uses less digits than its factorization.

18420651143136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199185 (or 199174 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18420651143136 in words is "eighteen trillion, four hundred twenty billion, six hundred fifty-one million, one hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 35537 71074 106611 142148 163621 213222 284296 319833 327242 390907 426444 490863 568592 639666 654484 781814 852888 981726 1137184 1172721 1279332 1308968 1472589 1563628 1705776 1799831 1963452 2345442 2558664 2617936 2945178 3127256 3411552 3518163 3599662 3926904 4690884 5117328 5235872 5399493 5890356 6254512 7036326 7199324 7853808 9381768 10234656 10798986 11780712 12509024 14072652 14398648 15707616 16198479 18763536 21597972 23561424 28145304 28797296 32396958 37527072 43195944 47122848 56290608 57594592 64793916 86391888 112581216 129587832 172783776 259175664 518351328 5814599477 11629198954 17443798431 23258397908 34887596862 46516795816 52331395293 63960594247 69775193724 93033591632 104662790586 127921188494 139550387448 186067183264 191881782741 209325581172 255842376988 279100774896 383763565482 418651162344 511684753976 558201549792 575645348223 767527130964 837302324688 1023369507952 1151290696446 1535054261928 1674604649376 2046739015904 2302581392892 3070108523856 4605162785784 6140217047712 9210325571568 18420651143136