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5056055100 = 2233526612833
BaseRepresentation
bin1001011010101110…
…10100011100111100
3111001100212012201000
410231113110130330
540323322230400
62153412450300
7236202521265
oct45527243474
914040765630
105056055100
112165014038
12b91319990
136276570a5
1435d6d396c
151e8d2a600
hex12d5d473c

5056055100 has 144 divisors (see below), whose sum is σ = 16284617440. Its totient is φ = 1345766400.

The previous prime is 5056055099. The next prime is 5056055101. The reversal of 5056055100 is 15506505.

5056055100 is a `hidden beast` number, since 5 + 0 + 5 + 605 + 51 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5056055099) and next prime (5056055101).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5056055101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1783284 + ... + 1786116.

Almost surely, 25056055100 is an apocalyptic number.

5056055100 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 5056055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142308720).

5056055100 is an abundant number, since it is smaller than the sum of its proper divisors (11228562340).

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

5056055100 is a wasteful number, since it uses less digits than its factorization.

5056055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 5056055100 is about 71105.9427896150. The cubic root of 5056055100 is about 1716.3424056324.

The spelling of 5056055100 in words is "five billion, fifty-six million, fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 661 675 900 1322 1350 1983 2644 2700 2833 3305 3966 5666 5949 6610 7932 8499 9915 11332 11898 13220 14165 16525 16998 17847 19830 23796 25497 28330 29745 33050 33996 35694 39660 42495 49575 50994 56660 59490 66100 70825 71388 76491 84990 89235 99150 101988 118980 127485 141650 148725 152982 169980 178470 198300 212475 254970 283300 297450 305964 356940 382455 424950 446175 509940 594900 637425 764910 849900 892350 1274850 1529820 1784700 1872613 1912275 2549700 3745226 3824550 5617839 7490452 7649100 9363065 11235678 16853517 18726130 22471356 28089195 33707034 37452260 46815325 50560551 56178390 67414068 84267585 93630650 101121102 112356780 140445975 168535170 187261300 202242204 252802755 280891950 337070340 421337925 505605510 561783900 842675850 1011211020 1264013775 1685351700 2528027550 5056055100