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2561421492 = 2232725712543
BaseRepresentation
bin1001100010101100…
…0011000010110100
320121111202200201200
42120223003002310
520221210441432
61102100052500
7120321503100
oct23053030264
96544680650
102561421492
1110a4945973
125b5994130
1331a886426
141a427c900
15eed0ea7c
hex98ac30b4

2561421492 has 108 divisors (see below), whose sum is σ = 7547956416. Its totient is φ = 730265760.

The previous prime is 2561421481. The next prime is 2561421539. The reversal of 2561421492 is 2941241652.

It is a happy number.

2561421492 is a `hidden beast` number, since 2 + 561 + 4 + 2 + 1 + 4 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1005973 + ... + 1008515.

Almost surely, 22561421492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561421492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773978208).

2561421492 is an abundant number, since it is smaller than the sum of its proper divisors (4986534924).

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

2561421492 is a wasteful number, since it uses less digits than its factorization.

2561421492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3126 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2561421492 is about 50610.4879644526. The cubic root of 2561421492 is about 1368.2339101919.

The spelling of 2561421492 in words is "two billion, five hundred sixty-one million, four hundred twenty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 571 588 882 1142 1713 1764 2284 2543 3426 3997 5086 5139 6852 7629 7994 10172 10278 11991 15258 15988 17801 20556 22887 23982 27979 30516 35602 35973 45774 47964 53403 55958 71204 71946 83937 91548 106806 111916 124607 143892 160209 167874 213612 249214 251811 320418 335748 373821 498428 503622 640836 747642 1007244 1121463 1452053 1495284 2242926 2904106 4356159 4485852 5808212 8712318 10164371 13068477 17424636 20328742 26136954 30493113 40657484 52273908 60986226 71150597 91479339 121972452 142301194 182958678 213451791 284602388 365917356 426903582 640355373 853807164 1280710746 2561421492