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5037129440 = 25572897219
BaseRepresentation
bin1001011000011110…
…00111111011100000
3111000001020200120122
410230033013323200
540304001120230
62151455055412
7235552615400
oct45417077340
914001220518
105037129440
1121553679a2
12b86b11568
1362375b985
1435ada8800
151e733cbe5
hex12c3c7ee0

5037129440 has 144 divisors (see below), whose sum is σ = 14000590800. Its totient is φ = 1707374592.

The previous prime is 5037129431. The next prime is 5037129511. The reversal of 5037129440 is 449217305.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5037129440.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 694151 + ... + 701369.

It is an arithmetic number, because the mean of its divisors is an integer number (97226325).

Almost surely, 25037129440 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 5037129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000295400).

5037129440 is an abundant number, since it is smaller than the sum of its proper divisors (8963461360).

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

5037129440 is a wasteful number, since it uses less digits than its factorization.

5037129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7337 (or 7322 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 5037129440 is about 70972.7373010228. The cubic root of 5037129440 is about 1714.1982091313.

The spelling of 5037129440 in words is "five billion, thirty-seven million, one hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 89 98 112 140 160 178 196 224 245 280 356 392 445 490 560 623 712 784 890 980 1120 1246 1424 1568 1780 1960 2492 2848 3115 3560 3920 4361 4984 6230 7120 7219 7840 8722 9968 12460 14240 14438 17444 19936 21805 24920 28876 34888 36095 43610 49840 50533 57752 69776 72190 87220 99680 101066 115504 139552 144380 174440 202132 231008 252665 288760 348880 353731 404264 505330 577520 642491 697760 707462 808528 1010660 1155040 1284982 1414924 1617056 1768655 2021320 2569964 2829848 3212455 3537310 4042640 4497437 5139928 5659696 6424910 7074620 8085280 8994874 10279856 11319392 12849820 14149240 17989748 20559712 22487185 25699640 28298480 31482059 35979496 44974370 51399280 56596960 62964118 71958992 89948740 102798560 125928236 143917984 157410295 179897480 251856472 314820590 359794960 503712944 629641180 719589920 1007425888 1259282360 2518564720 5037129440