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120149018676 = 2232311133532699
BaseRepresentation
bin110111111100101110…
…0001000100000110100
3102111010101120112200200
41233321130020200310
53432031122044201
6131110134240500
711452255544121
oct1577134104064
9374111515620
10120149018676
1146a55a97055
121b3517b6130
13b43a0316bb
145b5b057748
1531d30de386
hex1bf9708834

120149018676 has 144 divisors (see below), whose sum is σ = 317295014400. Its totient is φ = 38291742720.

The previous prime is 120149018657. The next prime is 120149018741. The reversal of 120149018676 is 676810941021.

120149018676 is a `hidden beast` number, since 12 + 0 + 1 + 490 + 1 + 86 + 76 = 666.

It is a super-3 number, since 3×1201490186763 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44514775 + ... + 44517473.

It is an arithmetic number, because the mean of its divisors is an integer number (2203437600).

Almost surely, 2120149018676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120149018676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158647507200).

120149018676 is an abundant number, since it is smaller than the sum of its proper divisors (197145995724).

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

120149018676 is a wasteful number, since it uses less digits than its factorization.

120149018676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Adding to 120149018676 its reverse (676810941021), we get a palindrome (796959959697).

The spelling of 120149018676 in words is "one hundred twenty billion, one hundred forty-nine million, eighteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 113 124 186 226 279 339 353 372 452 558 678 706 1017 1059 1116 1356 1412 2034 2118 2699 3177 3503 4068 4236 5398 6354 7006 8097 10509 10796 10943 12708 14012 16194 21018 21886 24291 31527 32388 32829 39889 42036 43772 48582 63054 65658 79778 83669 97164 98487 119667 126108 131316 159556 167338 196974 239334 251007 304987 334676 359001 393948 478668 502014 609974 718002 753021 914961 952747 1004028 1219948 1236559 1436004 1506042 1829922 1905494 2473118 2744883 2858241 3012084 3659844 3709677 3810988 4946236 5489766 5716482 7419354 8574723 9454597 10979532 11129031 11432964 14838708 17149446 18909194 22258062 28363791 29535157 34298892 37818388 44516124 56727582 59070314 85091373 88605471 107660411 113455164 118140628 170182746 177210942 215320822 265816413 322981233 340365492 354421884 430641644 531632826 645962466 968943699 1063265652 1291924932 1937887398 3337472741 3875774796 6674945482 10012418223 13349890964 20024836446 30037254669 40049672892 60074509338 120149018676