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1009174404680 = 235135573484237
BaseRepresentation
bin11101010111101110111…
…10110101111001001000
310120110212002200110201222
432223313132311321020
5113013242121422210
62051335221501212
7132624165622361
oct16536736657110
93513762613658
101009174404680
11359a96707a22
12143702571808
137421ac10c70
1436bb6a9ab68
151b3b6de3655
hexeaf77b5e48

1009174404680 has 64 divisors (see below), whose sum is σ = 2449698053040. Its totient is φ = 371949161472.

The previous prime is 1009174404677. The next prime is 1009174404697. The reversal of 1009174404680 is 864044719001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82687302916 + 926487101764 = 287554^2 + 962542^2 .

It is a super-2 number, since 2×10091744046802 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452479 + ... + 2031758.

Almost surely, 21009174404680 is an apocalyptic number.

1009174404680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009174404680 is an abundant number, since it is smaller than the sum of its proper divisors (1440523648360).

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

1009174404680 is a wasteful number, since it uses less digits than its factorization.

1009174404680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484818 (or 3484814 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 1009174404680 in words is "one trillion, nine billion, one hundred seventy-four million, four hundred four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 557 1114 2228 2785 4456 5570 7241 11140 14482 22280 28964 36205 57928 72410 144820 289640 3484237 6968474 13936948 17421185 27873896 34842370 45295081 69684740 90590162 139369480 181180324 226475405 362360648 452950810 905901620 1811803240 1940720009 3881440018 7762880036 9703600045 15525760072 19407200090 25229360117 38814400180 50458720234 77628800360 100917440468 126146800585 201834880936 252293601170 504587202340 1009174404680