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261262653740 = 225113197394931
BaseRepresentation
bin1111001101010001110…
…1111011100100101100
3220222100211202221112222
43303110131323210230
513240031214404430
6320004501214512
724606221625644
oct3632435734454
9828324687488
10261262653740
11a0889a58750
1242774401438
131b83853964a
14c906533524
156be198b9e5
hex3cd477b92c

261262653740 has 96 divisors (see below), whose sum is σ = 624207403008. Its totient is φ = 90991872000.

The previous prime is 261262653733. The next prime is 261262653797. The reversal of 261262653740 is 47356262162.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 261262653691 and 261262653700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464075 + ... + 859005.

It is an arithmetic number, because the mean of its divisors is an integer number (6502160448).

Almost surely, 2261262653740 is an apocalyptic number.

261262653740 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 261262653740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312103701504).

261262653740 is an abundant number, since it is smaller than the sum of its proper divisors (362944749268).

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

261262653740 is a wasteful number, since it uses less digits than its factorization.

261262653740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395079 (or 395077 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 261262653740 in words is "two hundred sixty-one billion, two hundred sixty-two million, six hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 97 110 124 155 194 220 310 341 388 485 620 682 970 1067 1364 1705 1940 2134 3007 3410 4268 5335 6014 6820 10670 12028 15035 21340 30070 33077 60140 66154 132308 165385 330770 394931 661540 789862 1579724 1974655 3949310 4344241 7898620 8688482 12242861 17376964 21721205 24485722 38308307 43442410 48971444 61214305 76616614 86884820 122428610 134671471 153233228 191541535 244857220 269342942 383083070 421391377 538685884 673357355 766166140 842782754 1187557517 1346714710 1685565508 2106956885 2375115034 2693429420 4213913770 4750230068 5937787585 8427827540 11875575170 13063132687 23751150340 26126265374 52252530748 65315663435 130631326870 261262653740