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5077705100 = 22521331312479
BaseRepresentation
bin1001011101010011…
…11010000110001100
3111002212121010220212
410232221322012030
540344343030400
62155504501552
7236554531646
oct45651720614
914085533825
105077705100
112176260aa6
12b9861a8b8
1362bc97540
1436252b896
151eaba5335
hex12ea7a18c

5077705100 has 72 divisors (see below), whose sum is σ = 11905071360. Its totient is φ = 1868705280.

The previous prime is 5077705099. The next prime is 5077705111. The reversal of 5077705100 is 15077705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400661 + ... + 413139.

Almost surely, 25077705100 is an apocalyptic number.

5077705100 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 5077705100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952535680).

5077705100 is an abundant number, since it is smaller than the sum of its proper divisors (6827366260).

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

5077705100 is a wasteful number, since it uses less digits than its factorization.

5077705100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12812 counting only the distinct ones).

The product of its (nonzero) digits is 8575, while the sum is 32.

The square root of 5077705100 is about 71258.0177944910. The cubic root of 5077705100 is about 1718.7887068308.

The spelling of 5077705100 in words is "five billion, seventy-seven million, seven hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 313 325 626 650 1252 1300 1565 3130 4069 6260 7825 8138 12479 15650 16276 20345 24958 31300 40690 49916 62395 81380 101725 124790 162227 203450 249580 311975 324454 406900 623950 648908 811135 1247900 1622270 3244540 3905927 4055675 7811854 8111350 15623708 16222700 19529635 39059270 50777051 78118540 97648175 101554102 195296350 203108204 253885255 390592700 507770510 1015541020 1269426275 2538852550 5077705100