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1268470820500 = 225313215011489
BaseRepresentation
bin10010011101010110110…
…000001010111010010100
311111021010220122011221021
4102131112300022322110
5131240312012224000
62410421043530524
7160433614034302
oct22352660127224
94437126564837
101268470820500
11449a56788a54
12185a08389a44
1392801c94700
1445574003272
1522ee0e3b11a
hex12756c0ae94

1268470820500 has 72 divisors (see below), whose sum is σ = 2999836115640. Its totient is φ = 468358425600.

The previous prime is 1268470820473. The next prime is 1268470820537. The reversal of 1268470820500 is 50280748621.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1180477904004 + 87992916496 = 1086498^2 + 296636^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7421245 + ... + 7590244.

It is an arithmetic number, because the mean of its divisors is an integer number (41664390495).

Almost surely, 21268470820500 is an apocalyptic number.

1268470820500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268470820500 is an abundant number, since it is smaller than the sum of its proper divisors (1731365295140).

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

1268470820500 is a wasteful number, since it uses less digits than its factorization.

1268470820500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011534 (or 15011509 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 1268470820500 in words is "one trillion, two hundred sixty-eight billion, four hundred seventy million, eight hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 650 676 845 1300 1625 1690 3250 3380 4225 6500 8450 16900 21125 42250 84500 15011489 30022978 60045956 75057445 150114890 195149357 300229780 375287225 390298714 750574450 780597428 975746785 1501148900 1876436125 1951493570 2536941641 3752872250 3902987140 4878733925 5073883282 7505744500 9757467850 10147766564 12684708205 19514935700 24393669625 25369416410 48787339250 50738832820 63423541025 97574678500 126847082050 253694164100 317117705125 634235410250 1268470820500