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261044401640 = 23511769771499
BaseRepresentation
bin1111001100011101110…
…1010111010111101000
3220221210122002120221212
43303013131113113220
513234104331323030
6315531103252252
724600631542311
oct3630735272750
9827718076855
10261044401640
11a0787839710
12427132aa088
131b8022616a9
14c8c555d608
156bcc729595
hex3cc77575e8

261044401640 has 64 divisors (see below), whose sum is σ = 641579400000. Its totient is φ = 94801674240.

The previous prime is 261044401601. The next prime is 261044401661. The reversal of 261044401640 is 46104440162.

It is a junction number, because it is equal to n+sod(n) for n = 261044401597 and 261044401606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47390 + ... + 724109.

It is an arithmetic number, because the mean of its divisors is an integer number (10024678125).

Almost surely, 2261044401640 is an apocalyptic number.

261044401640 is a gapful number since it is divisible by the number (20) 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 261044401640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320789700000).

261044401640 is an abundant number, since it is smaller than the sum of its proper divisors (380534998360).

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

261044401640 is a wasteful number, since it uses less digits than its factorization.

261044401640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772290 (or 772286 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 261044401640 in words is "two hundred sixty-one billion, forty-four million, four hundred one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 769 1538 3076 3845 6152 7690 8459 15380 16918 30760 33836 42295 67672 84590 169180 338360 771499 1542998 3085996 3857495 6171992 7714990 8486489 15429980 16972978 30859960 33945956 42432445 67891912 84864890 169729780 339459560 593282731 1186565462 2373130924 2966413655 4746261848 5932827310 6526110041 11865654620 13052220082 23731309240 26104440164 32630550205 52208880328 65261100410 130522200820 261044401640