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1082979379968 = 28343173189559
BaseRepresentation
bin11111100001001101001…
…10011110101100000000
310211112100200202200110020
433300212212132230000
5120220420210124333
62145302554333440
7141146144562423
oct17604646365400
93745320680406
101082979379968
1138831a699272
12155a7b72a280
137b180745485
143a5b8b7b9ba
151d2865a43b3
hexfc2699eb00

1082979379968 has 144 divisors (see below), whose sum is σ = 2966398659840. Its totient is φ = 350557949952.

The previous prime is 1082979379967. The next prime is 1082979379991. The reversal of 1082979379968 is 8699739792801.

It is a junction number, because it is equal to n+sod(n) for n = 1082979379893 and 1082979379902.

It is not an unprimeable number, because it can be changed into a prime (1082979379967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5618373 + ... + 5807931.

Almost surely, 21082979379968 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 1082979379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483199329920).

1082979379968 is an abundant number, since it is smaller than the sum of its proper divisors (1883419279872).

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

1082979379968 is a wasteful number, since it uses less digits than its factorization.

1082979379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189794 (or 189780 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 78.

The spelling of 1082979379968 in words is "one trillion, eighty-two billion, nine hundred seventy-nine million, three hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 173 192 256 258 344 346 384 516 519 688 692 768 1032 1038 1376 1384 2064 2076 2752 2768 4128 4152 5504 5536 7439 8256 8304 11008 11072 14878 16512 16608 22144 22317 29756 33024 33216 44288 44634 59512 66432 89268 119024 132864 178536 189559 238048 357072 379118 476096 568677 714144 758236 952192 1137354 1428288 1516472 1904384 2274708 2856576 3032944 4549416 5713152 6065888 8151037 9098832 12131776 16302074 18197664 24263552 24453111 32604148 32793707 36395328 48527104 48906222 65208296 65587414 72790656 97812444 98381121 130416592 131174828 145581312 195624888 196762242 260833184 262349656 391249776 393524484 521666368 524699312 782499552 787048968 1043332736 1049398624 1410129401 1564999104 1574097936 2086665472 2098797248 2820258802 3129998208 3148195872 4197594496 4230388203 5640517604 6259996416 6296391744 8395188992 8460776406 11281035208 12592783488 16921552812 22562070416 25185566976 33843105624 45124140832 67686211248 90248281664 135372422496 180496563328 270744844992 360993126656 541489689984 1082979379968