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5139144192 = 29371336767
BaseRepresentation
bin1001100100101000…
…10001111000000000
3111021011012120111210
410302110101320000
541011110103232
62205541410120
7241232001450
oct46224217000
914234176453
105139144192
1121a7a05106
12bb5109940
1363b929530
1436a761d60
1520128e5cc
hex132511e00

5139144192 has 160 divisors (see below), whose sum is σ = 16850921472. Its totient is φ = 1355341824.

The previous prime is 5139144181. The next prime is 5139144203. The reversal of 5139144192 is 2914419315.

It is an interprime number because it is at equal distance from previous prime (5139144181) and next prime (5139144203).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5139144192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121393 + ... + 158159.

Almost surely, 25139144192 is an apocalyptic number.

5139144192 is a gapful number since it is divisible by the number (52) 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 5139144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425460736).

5139144192 is an abundant number, since it is smaller than the sum of its proper divisors (11711777280).

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

5139144192 is a wasteful number, since it uses less digits than its factorization.

5139144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36808 (or 36792 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 5139144192 is about 71687.8245729357. The cubic root of 5139144192 is about 1725.6932526294.

It can be divided in two parts, 5139 and 144192, that added together give a triangular number (149331 = T546).

The spelling of 5139144192 in words is "five billion, one hundred thirty-nine million, one hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4992 5376 5824 6656 8736 9984 10752 11648 17472 19968 23296 34944 36767 46592 69888 73534 110301 139776 147068 220602 257369 294136 441204 477971 514738 588272 772107 882408 955942 1029476 1176544 1433913 1544214 1764816 1911884 2058952 2353088 2867826 3088428 3345797 3529632 3823768 4117904 4706176 5735652 6176856 6691594 7059264 7647536 8235808 9412352 10037391 11471304 12353712 13383188 14118528 15295072 16471616 18824704 20074782 22942608 24707424 26766376 28237056 30590144 32943232 40149564 45885216 49414848 53532752 56474112 61180288 65886464 80299128 91770432 98829696 107065504 122360576 131772928 160598256 183540864 197659392 214131008 244721152 321196512 367081728 395318784 428262016 642393024 734163456 856524032 1284786048 1713048064 2569572096 5139144192