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1335120164676 = 223423227912
BaseRepresentation
bin10011011011011011010…
…111001111011101000100
311201122011211010200010000
4103123123113033131010
5133333311230232201
62501202402401300
7165313344103134
oct23333327173504
94648154120100
101335120164676
11475248587781
12196909060230
1398b941a1c7c
1448897a14ac4
1524ae22ded86
hex136db5cf744

1335120164676 has 135 divisors (see below), whose sum is σ = 3649924220943. Its totient is φ = 425537964720.

The previous prime is 1335120164663. The next prime is 1335120164687. The reversal of 1335120164676 is 6764610215331.

The square root of 1335120164676 is 1155474.

It is a perfect power (a square), and thus also a powerful number.

1335120164676 is a `hidden beast` number, since 1 + 3 + 3 + 512 + 0 + 1 + 64 + 6 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 478364841 + ... + 478367631.

Almost surely, 21335120164676 is an apocalyptic number.

1335120164676 is the 1155474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1335120164676

1335120164676 is an abundant number, since it is smaller than the sum of its proper divisors (2314804056267).

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

1335120164676 is an frugal number, since it uses more digits than its factorization.

1335120164676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1335120164676 in words is "one trillion, three hundred thirty-five billion, one hundred twenty million, one hundred sixty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 1058 1242 1587 1863 2116 2484 2791 3174 3726 4761 5582 6348 7452 8373 9522 11164 14283 16746 19044 25119 28566 33492 42849 50238 57132 64193 75357 85698 100476 128386 150714 171396 192579 226071 256772 301428 385158 452142 577737 770316 904284 1155474 1476439 1733211 2310948 2952878 3466422 4429317 5199633 5905756 6932844 7789681 8858634 10399266 13287951 15579362 17717268 20798532 23369043 26575902 31158724 39863853 46738086 53151804 70107129 79727706 93476172 119591559 140214258 159455412 179162663 210321387 239183118 280428516 358325326 420642774 478366236 537487989 630964161 716650652 841285548 1074975978 1261928322 1612463967 2149951956 2523856644 3224927934 4120741249 4837391901 6449855868 8241482498 9674783802 12362223747 14512175703 16482964996 19349567604 24724447494 29024351406 37086671241 49448894988 58048702812 74173342482 111260013723 148346684964 222520027446 333780041169 445040054892 667560082338 1335120164676