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1345746489360 = 243571361618429
BaseRepresentation
bin10011100101010100101…
…111011101000000010000
311202122121101102220011220
4103211110233131000100
5134022042100124420
62510121041405040
7166140565264440
oct23452457350020
94678541386156
101345746489360
1147980089a799
12198993939780
1399b98874160
14491c5014120
152501516a840
hex13954bdd010

1345746489360 has 160 divisors (see below), whose sum is σ = 5134540535040. Its totient is φ = 283937716224.

The previous prime is 1345746489341. The next prime is 1345746489407. The reversal of 1345746489360 is 639846475431.

It is a super-2 number, since 2×13457464893602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1345746489294 and 1345746489303.

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, 30787375 + ... + 30831054.

It is an arithmetic number, because the mean of its divisors is an integer number (32090878344).

Almost surely, 21345746489360 is an apocalyptic number.

1345746489360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345746489360 is an abundant number, since it is smaller than the sum of its proper divisors (3788794045680).

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

1345746489360 is a wasteful number, since it uses less digits than its factorization.

1345746489360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61618465 (or 61618459 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 1345746489360 in words is "one trillion, three hundred forty-five billion, seven hundred forty-six million, four hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 21840 61618429 123236858 184855287 246473716 308092145 369710574 431329003 492947432 616184290 739421148 801039577 862658006 924276435 985894864 1232368580 1293987009 1478842296 1602079154 1725316012 1848552870 2156645015 2403118731 2464737160 2587974018 2957684592 3204158308 3450632024 3697105740 4005197885 4313290030 4806237462 4929474320 5175948036 5607277039 6408316616 6469935045 6901264048 7394211480 8010395770 8626580060 9612474924 10351896072 11214554078 12015593655 12816633232 12939870090 14788422960 16020791540 16821831117 17253160120 19224949848 20703792144 22429108156 24031187310 25879740180 28036385195 32041583080 33643662234 34506320240 38449899696 44858216312 48062374620 51759480360 56072770390 64083166160 67287324468 84109155585 89716432624 96124749240 103518960720 112145540780 134574648936 168218311170 192249498480 224291081560 269149297872 336436622340 448582163120 672873244680 1345746489360