Search a number
-
+
5190514650 = 2325223659761
BaseRepresentation
bin1001101010110000…
…01111011111011010
3111101201212110112100
410311120033133122
541112232432100
62215014424230
7242424434526
oct46530173732
914351773470
105190514650
112223a01532
12100a362076
13649474659
143734d4d86
15205a3a400
hex13560f7da

5190514650 has 144 divisors (see below), whose sum is σ = 14592726720. Its totient is φ = 1320211200.

The previous prime is 5190514573. The next prime is 5190514661. The reversal of 5190514650 is 564150915.

5190514650 is a `hidden beast` number, since 5 + 1 + 90 + 514 + 6 + 50 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6820270 + ... + 6821030.

It is an arithmetic number, because the mean of its divisors is an integer number (101338380).

Almost surely, 25190514650 is an apocalyptic number.

5190514650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5190514650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296363360).

5190514650 is an abundant number, since it is smaller than the sum of its proper divisors (9402212070).

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

5190514650 is a wasteful number, since it uses less digits than its factorization.

5190514650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5190514650 is about 72045.2264206311. The cubic root of 5190514650 is about 1731.4241616898.

The spelling of 5190514650 in words is "five billion, one hundred ninety million, five hundred fourteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 659 690 761 1035 1150 1318 1522 1725 1977 2070 2283 3295 3450 3805 3954 4566 5175 5931 6590 6849 7610 9885 10350 11415 11862 13698 15157 16475 17503 19025 19770 22830 29655 30314 32950 34245 35006 38050 45471 49425 52509 57075 59310 68490 75785 87515 90942 98850 105018 114150 136413 148275 151570 157527 171225 175030 227355 262545 272826 296550 315054 342450 378925 437575 454710 501499 525090 682065 757850 787635 875150 1002998 1136775 1312725 1364130 1504497 1575270 2273550 2507495 2625450 3008994 3410325 3938175 4513491 5014990 6820650 7522485 7876350 9026982 11534477 12537475 15044970 22567455 23068954 25074950 34603431 37612425 45134910 57672385 69206862 75224850 103810293 112837275 115344770 173017155 207620586 225674550 288361925 346034310 519051465 576723850 865085775 1038102930 1730171550 2595257325 5190514650