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5190303744 = 214343911
BaseRepresentation
bin1001101010101110…
…11100000000000000
3111101201110202020000
410311113130000000
541112204204434
62215010120000
7242422565613
oct46527340000
914351422200
105190303744
11222387802a
12100a280000
136493cc662
1437347c17a
152059e7b99
hex1355dc000

5190303744 has 150 divisors (see below), whose sum is σ = 15510324984. Its totient is φ = 1729658880.

The previous prime is 5190303737. The next prime is 5190303749. The reversal of 5190303744 is 4473030915.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5190303699 and 5190303708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190303749) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1325149 + ... + 1329059.

Almost surely, 25190303744 is an apocalyptic number.

5190303744 is a gapful number since it is divisible by the number (54) 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 5190303744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755162492).

5190303744 is an abundant number, since it is smaller than the sum of its proper divisors (10320021240).

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

5190303744 is an frugal number, since it uses more digits than its factorization.

5190303744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5190303744 is about 72043.7627001811. The cubic root of 5190303744 is about 1731.4007104064.

The spelling of 5190303744 in words is "five billion, one hundred ninety million, three hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 3911 4096 4608 5184 6144 6912 7822 8192 9216 10368 11733 12288 13824 15644 16384 18432 20736 23466 24576 27648 31288 35199 36864 41472 46932 49152 55296 62576 70398 73728 82944 93864 105597 110592 125152 140796 147456 165888 187728 211194 221184 250304 281592 316791 331776 375456 422388 442368 500608 563184 633582 663552 750912 844776 1001216 1126368 1267164 1327104 1501824 1689552 2002432 2252736 2534328 3003648 3379104 4004864 4505472 5068656 6007296 6758208 8009728 9010944 10137312 12014592 13516416 16019456 18021888 20274624 24029184 27032832 32038912 36043776 40549248 48058368 54065664 64077824 72087552 81098496 96116736 108131328 144175104 162196992 192233472 216262656 288350208 324393984 432525312 576700416 648787968 865050624 1297575936 1730101248 2595151872 5190303744