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2540545145200 = 2452311131813121
BaseRepresentation
bin100100111110000100010…
…010100111100101110000
322222212120221220100100001
4210332010102213211300
5313111014024121300
65223035455235344
7351356035300006
oct44760422474560
98885527810301
102540545145200
1189a491558a47
1235045b518b54
1315575969520a
148ad6a828a76
15461433cc16a
hex24f844a7970

2540545145200 has 120 divisors (see below), whose sum is σ = 6356312562816. Its totient is φ = 974733312000.

The previous prime is 2540545145197. The next prime is 2540545145249. The reversal of 2540545145200 is 25415450452.

It is a self number, because there is not a number n which added to its sum of digits gives 2540545145200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494640 + ... + 2307760.

Almost surely, 22540545145200 is an apocalyptic number.

2540545145200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540545145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178156281408).

2540545145200 is an abundant number, since it is smaller than the sum of its proper divisors (3815767417616).

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

2540545145200 is a wasteful number, since it uses less digits than its factorization.

2540545145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813283 (or 1813272 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 37.

The spelling of 2540545145200 in words is "two trillion, five hundred forty billion, five hundred forty-five million, one hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 113 124 155 200 226 248 310 400 452 496 565 620 775 904 1130 1240 1550 1808 2260 2480 2825 3100 3503 4520 5650 6200 7006 9040 11300 12400 14012 17515 22600 28024 35030 45200 56048 70060 87575 140120 175150 280240 350300 700600 1401200 1813121 3626242 7252484 9065605 14504968 18131210 29009936 36262420 45328025 56206751 72524840 90656050 112413502 145049680 181312100 204882673 224827004 281033755 362624200 409765346 449654008 562067510 725248400 819530692 899308016 1024413365 1124135020 1405168775 1639061384 2048826730 2248270040 2810337550 3278122768 4097653460 4496540080 5122066825 5620675100 6351362863 8195306920 10244133650 11241350200 12702725726 16390613840 20488267300 22482700400 25405451452 31756814315 40976534600 50810902904 63513628630 81953069200 101621805808 127027257260 158784071575 254054514520 317568143150 508109029040 635136286300 1270272572600 2540545145200