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1147977774680 = 2351123977116107
BaseRepresentation
bin10000101101001000110…
…011101011011001011000
311001202010112201020201112
4100231020303223121120
5122302024302242210
62235212415435452
7145636650040442
oct20551063533130
94052115636645
101147977774680
11402944587250
1216659b525b88
138433b8bb669
143d7c33d5492
151ecdca42d05
hex10b48ceb658

1147977774680 has 128 divisors (see below), whose sum is σ = 2943309934080. Its totient is φ = 398884485120.

The previous prime is 1147977774661. The next prime is 1147977774733. The reversal of 1147977774680 is 864777797411.

It is a self number, because there is not a number n which added to its sum of digits gives 1147977774680.

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 31 ways as a sum of consecutive naturals, for example, 9829187 + ... + 9945293.

It is an arithmetic number, because the mean of its divisors is an integer number (22994608860).

Almost surely, 21147977774680 is an apocalyptic number.

1147977774680 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 1147977774680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471654967040).

1147977774680 is an abundant number, since it is smaller than the sum of its proper divisors (1795332159400).

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

1147977774680 is a wasteful number, since it uses less digits than its factorization.

1147977774680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117129 (or 117125 counting only the distinct ones).

The product of its (nonzero) digits is 116169984, while the sum is 68.

The spelling of 1147977774680 in words is "one trillion, one hundred forty-seven billion, nine hundred seventy-seven million, seven hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 977 1012 1265 1954 2024 2530 3908 4885 5060 7816 9770 10120 10747 19540 21494 22471 39080 42988 44942 53735 85976 89884 107470 112355 116107 179768 214940 224710 232214 247181 429880 449420 464428 494362 580535 898840 928856 988724 1161070 1235905 1277177 1977448 2322140 2471810 2554354 2670461 4644280 4943620 5108708 5340922 6385885 9887240 10217416 10681844 12771770 13352305 21363688 25543540 26704610 29375071 51087080 53409220 58750142 106818440 113436539 117500284 146875355 226873078 235000568 293750710 453746156 567182695 587501420 907492312 1134365390 1175002840 1247801929 2268730780 2495603858 2609040397 4537461560 4991207716 5218080794 6239009645 9982415432 10436161588 12478019290 13045201985 20872323176 24956038580 26090403970 28699444367 49912077160 52180807940 57398888734 104361615880 114797777468 143497221835 229595554936 286994443670 573988887340 1147977774680