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5007033696 = 253731240353
BaseRepresentation
bin1001010100111000…
…10100010101100000
3110220221121122222110
410222130110111200
540223300034241
62144502035320
7235036040610
oct45234242540
913827548873
105007033696
11213a381585
12b78a18b40
1361a452242
14356db2a40
151e4895816
hex12a714560

5007033696 has 96 divisors (see below), whose sum is σ = 15505717248. Its totient is φ = 1384427520.

The previous prime is 5007033683. The next prime is 5007033709. The reversal of 5007033696 is 6963307005.

It is an interprime number because it is at equal distance from previous prime (5007033683) and next prime (5007033709).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99345 + ... + 141008.

It is an arithmetic number, because the mean of its divisors is an integer number (161517888).

Almost surely, 25007033696 is an apocalyptic number.

5007033696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5007033696 is an abundant number, since it is smaller than the sum of its proper divisors (10498683552).

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

5007033696 is a wasteful number, since it uses less digits than its factorization.

5007033696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240404 (or 240396 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 5007033696 is about 70760.3963810266. The cubic root of 5007033696 is about 1710.7774010468. Note that the first 3 decimals are identical.

The spelling of 5007033696 in words is "five billion, seven million, thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 240353 480706 721059 961412 1442118 1682471 1922824 2884236 3364942 3845648 5047413 5768472 6729884 7450943 7691296 10094826 11536944 13459768 14901886 20189652 22352829 23073888 26919536 29803772 40379304 44705658 52156601 53839072 59607544 80758608 89411316 104313202 119215088 156469803 161517216 178822632 208626404 238430176 312939606 357645264 417252808 625879212 715290528 834505616 1251758424 1669011232 2503516848 5007033696