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5025430520400 = 2435229144408923
BaseRepresentation
bin100100100100001001100…
…0000000100001001010000
3122210102111220010102012010
41021020103000010021100
51124314040203123100
614404352332502520
71026034565422053
oct111102300041120
918712456112163
105025430520400
111668300574974
12691b6661aa40
132a5b85866b84
14135336d9aa9a
158aaca0d5750
hex49213004250

5025430520400 has 120 divisors (see below), whose sum is σ = 16653237115680. Its totient is φ = 1293903941120.

The previous prime is 5025430520353. The next prime is 5025430520437. The reversal of 5025430520400 is 40250345205.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72169662 + ... + 72239261.

It is an arithmetic number, because the mean of its divisors is an integer number (138776975964).

Almost surely, 25025430520400 is an apocalyptic number.

5025430520400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5025430520400 is an abundant number, since it is smaller than the sum of its proper divisors (11627806595280).

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

5025430520400 is a wasteful number, since it uses less digits than its factorization.

5025430520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144408973 (or 144408962 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 5025430520400 its reverse (40250345205), we get a palindrome (5065680865605).

The spelling of 5025430520400 in words is "five trillion, twenty-five billion, four hundred thirty million, five hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 144408923 288817846 433226769 577635692 722044615 866453538 1155271384 1444089230 1732907076 2166133845 2310542768 2888178460 3465814152 3610223075 4187858767 4332267690 5776356920 6931628304 7220446150 8375717534 8664535380 10830669225 11552713840 12563576301 14440892300 16751435068 17329070760 20939293835 21661338450 25127152602 28881784600 33502870136 34658141520 41878587670 43322676900 50254305204 57763569200 62817881505 67005740272 83757175340 86645353800 100508610408 104696469175 125635763010 167514350680 173290707600 201017220816 209392938350 251271526020 314089407525 335028701360 418785876700 502543052040 628178815050 837571753400 1005086104080 1256357630100 1675143506800 2512715260200 5025430520400