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1009788942208 = 2719292493709
BaseRepresentation
bin11101011000111000001…
…11000111011110000000
310120112102221001012202011
432230130013013132000
5113021021432122313
62051520213302304
7132645340250104
oct16543407073600
93515387035664
101009788942208
1135a281595082
12143854334994
13742b8329837
1436c34549904
151b400d3393d
hexeb1c1c7780

1009788942208 has 96 divisors (see below), whose sum is σ = 2193109191000. Its totient is φ = 461826312192.

The previous prime is 1009788942187. The next prime is 1009788942259. The reversal of 1009788942208 is 8022498879001.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1798458 + ... + 2292166.

Almost surely, 21009788942208 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 1009788942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096554595500).

1009788942208 is an abundant number, since it is smaller than the sum of its proper divisors (1183320248792).

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

1009788942208 is an equidigital number, since it uses as much as digits as its factorization.

1009788942208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493800 (or 493759 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 1009788942208 in words is "one trillion, nine billion, seven hundred eighty-eight million, nine hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 464 551 608 841 928 1102 1216 1682 1856 2204 2432 3364 3712 4408 6728 8816 13456 15979 17632 26912 31958 35264 53824 63916 70528 107648 127832 255664 493709 511328 987418 1022656 1974836 2045312 3949672 7899344 9380471 14317561 15798688 18760942 28635122 31597376 37521884 57270244 63194752 75043768 114540488 150087536 229080976 272033659 300175072 415209269 458161952 544067318 600350144 830418538 916323904 1088134636 1200700288 1660837076 1832647808 2176269272 3321674152 4352538544 6643348304 7888976111 8705077088 13286696608 15777952222 17410154176 26573393216 31555904444 34820308352 53146786432 63111808888 126223617776 252447235552 504894471104 1009788942208