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5119856340 = 22351725719531
BaseRepresentation
bin1001100010010101…
…01100111011010100
3111012210220122112220
410301022230323110
540441140400330
62204012142340
7240606026604
oct46112547324
914183818486
105119856340
112198030935
12baa7679b0
136379352c1
14367d80c04
151ee72e710
hex1312aced4

5119856340 has 96 divisors (see below), whose sum is σ = 15238710144. Its totient is φ = 1279918080.

The previous prime is 5119856333. The next prime is 5119856381. The reversal of 5119856340 is 436589115.

It is a junction number, because it is equal to n+sod(n) for n = 5119856292 and 5119856301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252375 + ... + 271905.

It is an arithmetic number, because the mean of its divisors is an integer number (158736564).

Almost surely, 25119856340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5119856340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619355072).

5119856340 is an abundant number, since it is smaller than the sum of its proper divisors (10118853804).

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

5119856340 is a wasteful number, since it uses less digits than its factorization.

5119856340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19817 (or 19815 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 5119856340 is about 71553.1714181838. The cubic root of 5119856340 is about 1723.5316317660.

The spelling of 5119856340 in words is "five billion, one hundred nineteen million, eight hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 257 340 510 514 771 1020 1028 1285 1542 2570 3084 3855 4369 5140 7710 8738 13107 15420 17476 19531 21845 26214 39062 43690 52428 58593 65535 78124 87380 97655 117186 131070 195310 234372 262140 292965 332027 390620 585930 664054 996081 1171860 1328108 1660135 1992162 3320270 3984324 4980405 5019467 6640540 9960810 10038934 15058401 19921620 20077868 25097335 30116802 50194670 60233604 75292005 85330939 100389340 150584010 170661878 255992817 301168020 341323756 426654695 511985634 853309390 1023971268 1279964085 1706618780 2559928170 5119856340