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261379354248 = 2334403363201
BaseRepresentation
bin1111001101101101101…
…1000110111010001000
3220222122222100221120000
43303123123012322020
513240301103313443
6320024230403000
724612136565445
oct3633333067210
9828588327500
10261379354248
11a0939916551
12427a7500460
131b8567797bc
14c917c309cc
156bebd3e8d3
hex3cdb6c6e88

261379354248 has 40 divisors (see below), whose sum is σ = 732104211630. Its totient is φ = 87126451200.

The previous prime is 261379354157. The next prime is 261379354289. The reversal of 261379354248 is 842453973162.

261379354248 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 7 + 93 + 542 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214481986884 + 46897367364 = 463122^2 + 216558^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 261379354194 and 261379354203.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 201680953 + ... + 201682248.

Almost surely, 2261379354248 is an apocalyptic number.

It is an amenable number.

261379354248 is an abundant number, since it is smaller than the sum of its proper divisors (470724857382).

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

261379354248 is a wasteful number, since it uses less digits than its factorization.

261379354248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403363219 (or 403363206 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 261379354248 in words is "two hundred sixty-one billion, three hundred seventy-nine million, three hundred fifty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 403363201 806726402 1210089603 1613452804 2420179206 3226905608 3630268809 4840358412 7260537618 9680716824 10890806427 14521075236 21781612854 29042150472 32672419281 43563225708 65344838562 87126451416 130689677124 261379354248