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1330294678960 = 2451359103210487
BaseRepresentation
bin10011010110111011101…
…111011110010110110000
311201011201112010121010211
4103112323233132112300
5133243420414211320
62455043503433504
7165052641125512
oct23267357362660
94634645117124
101330294678960
114731a1735955
121959a0bb5894
13985a5546390
144855abbdbb2
152490d85b55a
hex135bbbde5b0

1330294678960 has 160 divisors (see below), whose sum is σ = 3420211092480. Its totient is φ = 478170307584.

The previous prime is 1330294678943. The next prime is 1330294678963. The reversal of 1330294678960 is 698764920331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1330294678895 and 1330294678904.

It is not an unprimeable number, because it can be changed into a prime (1330294678963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6214837 + ... + 6425323.

It is an arithmetic number, because the mean of its divisors is an integer number (21376319328).

Almost surely, 21330294678960 is an apocalyptic number.

1330294678960 is a gapful number since it is divisible by the number (10) 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 1330294678960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710105546240).

1330294678960 is an abundant number, since it is smaller than the sum of its proper divisors (2089916413520).

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

1330294678960 is a wasteful number, since it uses less digits than its factorization.

1330294678960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210675 (or 210669 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 1330294678960 in words is "one trillion, three hundred thirty billion, two hundred ninety-four million, six hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 103 104 118 130 206 208 236 260 295 412 472 515 520 590 767 824 944 1030 1040 1180 1339 1534 1648 2060 2360 2678 3068 3835 4120 4720 5356 6077 6136 6695 7670 8240 10712 12154 12272 13390 15340 21424 24308 26780 30385 30680 48616 53560 60770 61360 79001 97232 107120 121540 158002 210487 243080 316004 395005 420974 486160 632008 790010 841948 1052435 1264016 1580020 1683896 2104870 2736331 3160040 3367792 4209740 5472662 6320080 8419480 10945324 12418733 13681655 16838960 21680161 21890648 24837466 27363310 43360322 43781296 49674932 54726620 62093665 86720644 99349864 108400805 109453240 124187330 161443529 173441288 198699728 216801610 218906480 248374660 281842093 322887058 346882576 433603220 496749320 563684186 645774116 807217645 867206440 993498640 1127368372 1279129499 1291548232 1409210465 1614435290 1734412880 2254736744 2558258998 2583096464 2818420930 3228870580 4509473488 5116517996 5636841860 6395647495 6457741160 10233035992 11273683720 12791294990 12915482320 16628683487 20466071984 22547367440 25582589980 33257366974 51165179960 66514733948 83143417435 102330359920 133029467896 166286834870 266058935792 332573669740 665147339480 1330294678960