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5245141536 = 2532235913421
BaseRepresentation
bin1001110001010001…
…01000001000100000
3111112112122210112100
410320220220020200
541220224012121
62224245330400
7243656652555
oct47050501040
914475583470
105245141536
112251822518
121024706a00
1365788ca5b
1437a874a2c
1520a72b026
hex138a28220

5245141536 has 144 divisors (see below), whose sum is σ = 15829369920. Its totient is φ = 1643896320.

The previous prime is 5245141471. The next prime is 5245141537. The reversal of 5245141536 is 6351415425.

5245141536 is a `hidden beast` number, since 52 + 451 + 4 + 153 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5245141536.

It is not an unprimeable number, because it can be changed into a prime (5245141537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384106 + ... + 397526.

It is an arithmetic number, because the mean of its divisors is an integer number (109926180).

Almost surely, 25245141536 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 5245141536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914684960).

5245141536 is an abundant number, since it is smaller than the sum of its proper divisors (10584228384).

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

5245141536 is a wasteful number, since it uses less digits than its factorization.

5245141536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13519 (or 13508 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5245141536 is about 72423.3493840212. The cubic root of 5245141536 is about 1737.4770252194.

The spelling of 5245141536 in words is "five billion, two hundred forty-five million, one hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 59 69 72 92 96 118 138 144 177 184 207 236 276 288 354 368 414 472 531 552 708 736 828 944 1062 1104 1357 1416 1656 1888 2124 2208 2714 2832 3312 4071 4248 5428 5664 6624 8142 8496 10856 12213 13421 16284 16992 21712 24426 26842 32568 40263 43424 48852 53684 65136 80526 97704 107368 120789 130272 161052 195408 214736 241578 308683 322104 390816 429472 483156 617366 644208 791839 926049 966312 1234732 1288416 1583678 1852098 1932624 2375517 2469464 2778147 3167356 3704196 3865248 4751034 4938928 5556294 6334712 7126551 7408392 9502068 9877856 11112588 12669424 14253102 14816784 18212297 19004136 22225176 25338848 28506204 29633568 36424594 38008272 44450352 54636891 57012408 72849188 76016544 88900704 109273782 114024816 145698376 163910673 218547564 228049632 291396752 327821346 437095128 582793504 655642692 874190256 1311285384 1748380512 2622570768 5245141536