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5056010000480 = 255231601858161
BaseRepresentation
bin100100110010011000110…
…1011100001100001100000
3122220100110000210221210102
41021210301223201201200
51130314202030003410
614430410545121532
71031166432624155
oct111446153414140
918810400727712
105056010000480
11167a27292095a
12697a7b6292a8
132a8a19cc189a
141369d836a22c
158b7b9a272a5
hex49931ae1860

5056010000480 has 96 divisors (see below), whose sum is σ = 12471963553728. Its totient is φ = 1933262848000.

The previous prime is 5056010000471. The next prime is 5056010000527. The reversal of 5056010000480 is 840000106505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5462600 + ... + 6320760.

It is an arithmetic number, because the mean of its divisors is an integer number (129916287018).

Almost surely, 25056010000480 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 5056010000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235981776864).

5056010000480 is an abundant number, since it is smaller than the sum of its proper divisors (7415953553248).

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

5056010000480 is a wasteful number, since it uses less digits than its factorization.

5056010000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859800 (or 859792 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 5056010000480 its reverse (840000106505), we get a palindrome (5896010106985).

The spelling of 5056010000480 in words is "five trillion, fifty-six billion, ten million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1601 1840 3202 3680 6404 8005 12808 16010 25616 32020 36823 51232 64040 73646 128080 147292 184115 256160 294584 368230 589168 736460 858161 1178336 1472920 1716322 2945840 3432644 4290805 5891680 6865288 8581610 13730576 17163220 19737703 27461152 34326440 39475406 68652880 78950812 98688515 137305760 157901624 197377030 315803248 394754060 631606496 789508120 1373915761 1579016240 2747831522 3158032480 5495663044 6869578805 10991326088 13739157610 21982652176 27478315220 31600062503 43965304352 54956630440 63200125006 109913260880 126400250012 158000312515 219826521760 252800500024 316000625030 505601000048 632001250060 1011202000096 1264002500120 2528005000240 5056010000480