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261624056452 = 221129316614017
BaseRepresentation
bin1111001110101000000…
…0100100101010000100
3221000022000211002212121
43303222000210222010
513241301224301302
6320104411255324
724621200534113
oct3635200445204
9830260732777
10261624056452
11a0a54a60980
124285544a544
131b8953859c5
14c93c52bc7a
156c13578e37
hex3cea024a84

261624056452 has 48 divisors (see below), whose sum is σ = 533354411520. Its totient is φ = 111115468800.

The previous prime is 261624056431. The next prime is 261624056467. The reversal of 261624056452 is 254650426162.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 261624056399 and 261624056408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3267453 + ... + 3346564.

It is an arithmetic number, because the mean of its divisors is an integer number (11111550240).

Almost surely, 2261624056452 is an apocalyptic number.

261624056452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

261624056452 is an abundant number, since it is smaller than the sum of its proper divisors (271730355068).

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

261624056452 is a wasteful number, since it uses less digits than its factorization.

261624056452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614092 (or 6614090 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 261624056452 in words is "two hundred sixty-one billion, six hundred twenty-four million, fifty-six thousand, four hundred fifty-two".

Divisors: 1 2 4 11 22 29 31 44 58 62 116 124 319 341 638 682 899 1276 1364 1798 3596 9889 19778 39556 6614017 13228034 26456068 72754187 145508374 191806493 205034527 291016748 383612986 410069054 767225972 820138108 2109871423 2255379797 4219742846 4510759594 5946001283 8439485692 9021519188 11892002566 23784005132 65406014113 130812028226 261624056452