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1076882630976 = 2634829725037
BaseRepresentation
bin11111010101110110011…
…01001110100101000000
310210221121210122202010000
433222323031032211000
5120120423423142401
62142414004040000
7140542104222135
oct17527315164500
93727553582100
101076882630976
11385781197539
12154859993000
137a71b6038a9
143a19b18658c
151d02b20a186
hexfabb34e940

1076882630976 has 140 divisors (see below), whose sum is σ = 3192729733908. Its totient is φ = 358903277568.

The previous prime is 1076882630951. The next prime is 1076882630977. The reversal of 1076882630976 is 6790362886701.

It can be written as a sum of positive squares in 2 ways, for example, as 881766072576 + 195116558400 = 939024^2 + 441720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076882630977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42999130 + ... + 43024166.

Almost surely, 21076882630976 is an apocalyptic number.

1076882630976 is a gapful number since it is divisible by the number (16) 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 1076882630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596364866954).

1076882630976 is an abundant number, since it is smaller than the sum of its proper divisors (2115847102932).

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

1076882630976 is an equidigital number, since it uses as much as digits as its factorization.

1076882630976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33358 (or 33339 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1076882630976 in words is "one trillion, seventy-six billion, eight hundred eighty-two million, six hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8297 16594 24891 25037 33188 49782 50074 66376 74673 75111 99564 100148 132752 149346 150222 199128 200296 224019 225333 265504 298692 300444 398256 400592 448038 450666 531008 597384 600888 672057 675999 796512 801184 896076 901332 1194768 1201776 1344114 1351998 1593024 1602368 1792152 1802664 2027997 2389536 2403552 2688228 2703996 3584304 3605328 4055994 4779072 4807104 5376456 5407992 7168608 7210656 8111988 10752912 10815984 14337216 14421312 16223976 21505824 21631968 32447952 43011648 43263936 64895904 129791808 207731989 415463978 623195967 830927956 1246391934 1661855912 1869587901 2492783868 3323711824 3739175802 4985567736 5608763703 6647423648 7478351604 9971135472 11217527406 13294847296 14956703208 16826291109 19942270944 22435054812 29913406416 33652582218 39884541888 44870109624 59826812832 67305164436 89740219248 119653625664 134610328872 179480438496 269220657744 358960876992 538441315488 1076882630976