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1000981879020 = 2232536785717681
BaseRepresentation
bin11101001000011110010…
…10110101100011101100
310112200201011000001021200
432210033022311203230
5112400002330112040
62043502243325500
7132214156405044
oct16441712654354
93480634001250
101000981879020
113565721a2162
12141bb6980890
137351382c946
143663a9d8724
151b087a68630
hexe90f2b58ec

1000981879020 has 144 divisors (see below), whose sum is σ = 3048310032768. Its totient is φ = 265875517440.

The previous prime is 1000981878997. The next prime is 1000981879031. The reversal of 1000981879020 is 209781890001.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 56604580 + ... + 56622260.

It is an arithmetic number, because the mean of its divisors is an integer number (21168819672).

Almost surely, 21000981879020 is an apocalyptic number.

1000981879020 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 1000981879020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524155016384).

1000981879020 is an abundant number, since it is smaller than the sum of its proper divisors (2047328153748).

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

1000981879020 is a wasteful number, since it uses less digits than its factorization.

1000981879020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18920 (or 18915 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 1000981879020 in words is "one trillion, nine hundred eighty-one million, eight hundred seventy-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367 734 857 1101 1468 1714 1835 2202 2571 3303 3428 3670 4285 4404 5142 5505 6606 7340 7713 8570 10284 11010 12855 13212 15426 16515 17140 17681 22020 25710 30852 33030 35362 38565 51420 53043 66060 70724 77130 88405 106086 154260 159129 176810 212172 265215 314519 318258 353620 530430 629038 636516 795645 943557 1060860 1258076 1572595 1591290 1887114 2830671 3145190 3182580 3774228 4717785 5661342 6290380 6488927 9435570 11322684 12977854 14153355 15152617 18871140 19466781 25955708 28306710 30305234 32444635 38933562 45457851 56613420 58400343 60610468 64889270 75763085 77867124 90915702 97333905 116800686 129778540 136373553 151526170 181831404 194667810 227289255 233601372 272747106 292001715 303052340 389335620 454578510 545494212 584003430 681867765 909157020 1168006860 1363735530 2727471060 5561010439 11122020878 16683031317 22244041756 27805052195 33366062634 50049093951 55610104390 66732125268 83415156585 100098187902 111220208780 166830313170 200196375804 250245469755 333660626340 500490939510 1000981879020