Search a number
-
+
750826000000 = 2756375413
BaseRepresentation
bin10101110110100001011…
…01111000111010000000
32122210000100120201100101
422323100231320322000
544300142424000000
61332531422532144
7105150111461356
oct12732055707200
92583010521311
10750826000000
1126a47278077a
12101622137054
1355a58393c5b
14284a960b7d6
15147e620ce6a
hexaed0b78e80

750826000000 has 112 divisors (see below), whose sum is σ = 1869713762670. Its totient is φ = 300329600000.

The previous prime is 750825999977. The next prime is 750826000007. The reversal of 750826000000 is 628057.

It can be written as a sum of positive squares in 7 ways, for example, as 626769889344 + 124056110656 = 791688^2 + 352216^2 .

It is not an unprimeable number, because it can be changed into a prime (750826000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1812294 + ... + 2187706.

Almost surely, 2750826000000 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 750826000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934856881335).

750826000000 is an abundant number, since it is smaller than the sum of its proper divisors (1118887762670).

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

750826000000 is an frugal number, since it uses more digits than its factorization.

750826000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375457 (or 375420 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 750826000000 its reverse (628057), we get a palindrome (750826628057).

The spelling of 750826000000 in words is "seven hundred fifty billion, eight hundred twenty-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 375413 400000 500000 750826 1000000 1501652 1877065 2000000 3003304 3754130 6006608 7508260 9385325 12013216 15016520 18770650 24026432 30033040 37541300 46926625 48052864 60066080 75082600 93853250 120132160 150165200 187706500 234633125 240264320 300330400 375413000 469266250 600660800 750826000 938532500 1173165625 1201321600 1501652000 1877065000 2346331250 3003304000 3754130000 4692662500 5865828125 6006608000 7508260000 9385325000 11731656250 15016520000 18770650000 23463312500 30033040000 37541300000 46926625000 75082600000 93853250000 150165200000 187706500000 375413000000 750826000000