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5146065100 = 22521131229659
BaseRepresentation
bin1001100101011101…
…01011100011001100
3111021122020012012201
410302232223203030
541014343040400
62210350011244
7241344555151
oct46256534314
914248205181
105146065100
112200901970
12bb74a6b24
136401b0747
1436b644228
15201baa06a
hex132bab8cc

5146065100 has 144 divisors (see below), whose sum is σ = 12649190400. Its totient is φ = 1800288000.

The previous prime is 5146065083. The next prime is 5146065101. The reversal of 5146065100 is 15606415.

It is not an unprimeable number, because it can be changed into a prime (5146065101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7808571 + ... + 7809229.

It is an arithmetic number, because the mean of its divisors is an integer number (87841600).

Almost surely, 25146065100 is an apocalyptic number.

5146065100 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 5146065100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324595200).

5146065100 is an abundant number, since it is smaller than the sum of its proper divisors (7503125300).

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

5146065100 is a wasteful number, since it uses less digits than its factorization.

5146065100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 5146065100 is about 71736.0794858487. The cubic root of 5146065100 is about 1726.4675713619.

The spelling of 5146065100 in words is "five billion, one hundred forty-six million, sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 229 275 310 341 458 550 620 659 682 775 916 1100 1145 1318 1364 1550 1705 2290 2519 2636 3100 3295 3410 4580 5038 5725 6590 6820 7099 7249 8525 10076 11450 12595 13180 14198 14498 16475 17050 20429 22900 25190 28396 28996 32950 34100 35495 36245 40858 50380 62975 65900 70990 72490 78089 81716 102145 125950 141980 144980 150911 156178 177475 181225 204290 224719 251900 301822 312356 354950 362450 390445 408580 449438 510725 603644 709900 724900 754555 780890 898876 1021450 1123595 1509110 1561780 1660021 1952225 2042900 2247190 3018220 3320042 3772775 3904450 4494380 4678241 5617975 6640084 7545550 7808900 8300105 9356482 11235950 15091100 16600210 18712964 22471900 23391205 33200420 41500525 46782410 51460651 83001050 93564820 102921302 116956025 166002100 205842604 233912050 257303255 467824100 514606510 1029213020 1286516275 2573032550 5146065100