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2555352756 = 223211173710259
BaseRepresentation
bin1001100001001111…
…1001011010110100
320121002100100222200
42120103321122310
520213132242011
61101322024500
7120216066015
oct23023713264
96532310880
102555352756
1110a1480390
125b3948130
13319540068
141a353d00c
15ee511856
hex984f96b4

2555352756 has 144 divisors (see below), whose sum is σ = 7663481280. Its totient is φ = 709032960.

The previous prime is 2555352749. The next prime is 2555352791. The reversal of 2555352756 is 6572535552.

2555352756 is a `hidden beast` number, since 25 + 5 + 53 + 527 + 56 = 666.

2555352756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243955 + ... + 254213.

It is an arithmetic number, because the mean of its divisors is an integer number (53218620).

Almost surely, 22555352756 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 2555352756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831740640).

2555352756 is an abundant number, since it is smaller than the sum of its proper divisors (5108128524).

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

2555352756 is a wasteful number, since it uses less digits than its factorization.

2555352756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334 (or 10329 counting only the distinct ones).

The product of its digits is 1575000, while the sum is 45.

The square root of 2555352756 is about 50550.4970895440. The cubic root of 2555352756 is about 1367.1524772449.

The spelling of 2555352756 in words is "two billion, five hundred fifty-five million, three hundred fifty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 37 44 51 66 68 74 99 102 111 132 148 153 187 198 204 222 306 333 374 396 407 444 561 612 629 666 748 814 1122 1221 1258 1332 1628 1683 1887 2244 2442 2516 3366 3663 3774 4884 5661 6732 6919 7326 7548 10259 11322 13838 14652 20518 20757 22644 27676 30777 41036 41514 61554 62271 83028 92331 112849 123108 124542 174403 184662 225698 249084 338547 348806 369324 379583 451396 523209 677094 697612 759166 1015641 1046418 1138749 1354188 1518332 1569627 1918433 2031282 2092836 2277498 3139254 3416247 3836866 4062564 4175413 4554996 5755299 6278508 6452911 6832494 7673732 8350826 11510598 12526239 12905822 13664988 16701652 17265897 19358733 23021196 25052478 25811644 34531794 37578717 38717466 50104956 58076199 69063588 70982021 75157434 77434932 116152398 141964042 150314868 212946063 232304796 283928084 425892126 638838189 851784252 1277676378 2555352756