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1278369422500 = 2254226132
BaseRepresentation
bin10010100110100100110…
…000010101110010100100
311112012200202121021011011
4102212210300111302210
5131421100033010000
62415135205152004
7161234120542252
oct22464460256244
94465622537134
101278369422500
11453176237165
1218790b3bb604
139371b96bc61
1445c328cd5d2
15233bee6a2ba
hex129a4c15ca4

1278369422500 has 45 divisors (see below), whose sum is σ = 2795661883861. Its totient is φ = 511325156000.

The previous prime is 1278369422483. The next prime is 1278369422501. The reversal of 1278369422500 is 52249638721.

It is a happy number.

The square root of 1278369422500 is 1130650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1049342091876 + 229027330624 = 1024374^2 + 478568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1278369422501) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 56521194 + ... + 56543806.

It is a 1-persistent number, because it is pandigital, but 2⋅1278369422500 = 2556738845000 is not.

Almost surely, 21278369422500 is an apocalyptic number.

1278369422500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1278369422500 is the 1130650-th square number.

It is an amenable number.

1278369422500 is an abundant number, since it is smaller than the sum of its proper divisors (1517292461361).

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

1278369422500 is an frugal number, since it uses more digits than its factorization.

1278369422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45250 (or 22620 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 1278369422500 by its sum of digits (49), we get a square (62640101702500 = 79145502).

The spelling of 1278369422500 in words is "one trillion, two hundred seventy-eight billion, three hundred sixty-nine million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 22613 45226 90452 113065 226130 452260 565325 1130650 2261300 2826625 5653250 11306500 14133125 28266250 56532500 511347769 1022695538 2045391076 2556738845 5113477690 10226955380 12783694225 25567388450 51134776900 63918471125 127836942250 255673884500 319592355625 639184711250 1278369422500