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45067650676400 = 24521132843311867
BaseRepresentation
bin10100011111101001000010…
…10011110011011010110000
312220120102111001201120111002
422033310201103303122300
521401342022033121100
6235503443133341132
712331013253054452
oct1217644123633260
9186512431646432
1045067650676400
11133a60a0994050
12507a4b50377a8
131c1bb27151961
14b1b40084a2d2
155324a66882d5
hex28fd214f36b0

45067650676400 has 120 divisors (see below), whose sum is σ = 118122190570944. Its totient is φ = 16387685075200.

The previous prime is 45067650676357. The next prime is 45067650676409. The reversal of 45067650676400 is 467605676054.

45067650676400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45067650676409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144353267 + ... + 144665133.

Almost surely, 245067650676400 is an apocalyptic number.

45067650676400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45067650676400 is an abundant number, since it is smaller than the sum of its proper divisors (73054539894544).

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

45067650676400 is a wasteful number, since it uses less digits than its factorization.

45067650676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344739 (or 344728 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 56.

The spelling of 45067650676400 in words is "forty-five trillion, sixty-seven billion, six hundred fifty million, six hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 32843 65686 131372 164215 262744 311867 328430 361273 525488 623734 656860 722546 821075 1247468 1313720 1445092 1559335 1642150 1806365 2494936 2627440 2890184 3118670 3284300 3430537 3612730 4989872 5780368 6237340 6568600 6861074 7225460 7796675 9031825 12474680 13137200 13722148 14450920 15593350 17152685 18063650 24949360 27444296 28901840 31186700 34305370 36127300 54888592 62373400 68610740 72254600 85763425 124746800 137221480 144509200 171526850 274442960 343053700 686107400 1372214800 10242647881 20485295762 40970591524 51213239405 81941183048 102426478810 112669126691 163882366096 204852957620 225338253382 256066197025 409705915240 450676506764 512132394050 563345633455 819411830480 901353013528 1024264788100 1126691266910 1802706027056 2048529576200 2253382533820 2816728167275 4097059152400 4506765067640 5633456334550 9013530135280 11266912669100 22533825338200 45067650676400