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261148703940 = 223353115600281
BaseRepresentation
bin1111001100110110101…
…1001111110011000100
3220222001220100200211000
43303031223033303010
513234313032011230
6315545311013300
724603336233535
oct3631553176304
9828056320730
10261148703940
11a08306a9563
124274220a230
131b81aa50527
14c8d535068c
156bd697db60
hex3ccdacfcc4

261148703940 has 96 divisors (see below), whose sum is σ = 838671160320. Its totient is φ = 67393209600.

The previous prime is 261148703927. The next prime is 261148703947. The reversal of 261148703940 is 49307841162.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (261148703947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7783401 + ... + 7816880.

It is an arithmetic number, because the mean of its divisors is an integer number (8736157920).

Almost surely, 2261148703940 is an apocalyptic number.

261148703940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261148703940 is an abundant number, since it is smaller than the sum of its proper divisors (577522456380).

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

261148703940 is a wasteful number, since it uses less digits than its factorization.

261148703940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15600330 (or 15600322 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 261148703940 in words is "two hundred sixty-one billion, one hundred forty-eight million, seven hundred three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 15600281 31200562 46800843 62401124 78001405 93601686 140402529 156002810 187203372 234004215 280805058 312005620 421207587 468008430 483608711 561610116 702012645 842415174 936016860 967217422 1404025290 1450826133 1684830348 1934434844 2106037935 2418043555 2808050580 2901652266 4212075870 4352478399 4836087110 5803304532 7254130665 8424151740 8704956798 9672174220 13057435197 14508261330 17409913596 21762391995 26114870394 29016522660 43524783990 52229740788 65287175985 87049567980 130574351970 261148703940