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5055254760900 = 22352531571202381
BaseRepresentation
bin100100110010000010010…
…1010100000110111000100
3122220021111101200210212010
41021210010222200313010
51130311130204322100
614430204005454220
71031141632323411
oct111440452406704
918807441623763
105055254760900
111679a15582213
126978aa711370
132a89296b1266
14136965d33108
158b773592750
hex49904aa0dc4

5055254760900 has 144 divisors (see below), whose sum is σ = 14912069191488. Its totient is φ = 1321784256000.

The previous prime is 5055254760863. The next prime is 5055254760937. The reversal of 5055254760900 is 90674525505.

It is an interprime number because it is at equal distance from previous prime (5055254760863) and next prime (5055254760937).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5055254760900.

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, 24877710 + ... + 25080090.

It is an arithmetic number, because the mean of its divisors is an integer number (103556036052).

Almost surely, 25055254760900 is an apocalyptic number.

5055254760900 is a gapful number since it is divisible by the number (50) 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 5055254760900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7456034595744).

5055254760900 is an abundant number, since it is smaller than the sum of its proper divisors (9856814430588).

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

5055254760900 is a wasteful number, since it uses less digits than its factorization.

5055254760900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204022 (or 204015 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 48.

The spelling of 5055254760900 in words is "five trillion, fifty-five billion, two hundred fifty-four million, seven hundred sixty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1571 1590 2650 3142 3180 3975 4713 5300 6284 7855 7950 9426 15710 15900 18852 23565 31420 39275 47130 78550 83263 94260 117825 157100 166526 202381 235650 249789 333052 404762 416315 471300 499578 607143 809524 832630 999156 1011905 1214286 1248945 1665260 2023810 2081575 2428572 2497890 3035715 4047620 4163150 4995780 5059525 6071430 6244725 8326300 10119050 10726193 12142860 12489450 15178575 20238100 21452386 24978900 30357150 32178579 42904772 53630965 60714300 64357158 107261930 128714316 160892895 214523860 268154825 317940551 321785790 536309650 635881102 643571580 804464475 953821653 1072619300 1271762204 1589702755 1608928950 1907643306 3179405510 3217857900 3815286612 4769108265 6358811020 7948513775 9538216530 15897027550 16850849203 19076433060 23845541325 31794055100 33701698406 47691082650 50552547609 67403396812 84254246015 95382165300 101105095218 168508492030 202210190436 252762738045 337016984060 421271230075 505525476090 842542460150 1011050952180 1263813690225 1685084920300 2527627380450 5055254760900