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1778953083076 = 2213243211932
BaseRepresentation
bin11001111000110001110…
…111011101100011000100
320022001210022002000012001
4121320301313131203010
5213121243442124301
63441123442235044
7242345054466151
oct31706167354304
96261708060161
101778953083076
116264a4702474
12248933955a84
13cb9a69b4400
146215d445228
153141be3ec01
hex19e31ddd8c4

1778953083076 has 81 divisors (see below), whose sum is σ = 3454178837319. Its totient is φ = 801288738432.

The previous prime is 1778953083073. The next prime is 1778953083101. The reversal of 1778953083076 is 6703803598771.

The square root of 1778953083076 is 1333774.

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

It can be written as a sum of positive squares in 4 ways, for example, as 241055468676 + 1537897614400 = 490974^2 + 1240120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1778953082999 and 1778953083017.

It is not an unprimeable number, because it can be changed into a prime (1778953083073) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1491158736 + ... + 1491159928.

Almost surely, 21778953083076 is an apocalyptic number.

1778953083076 is the 1333774-th square number.

It is an amenable number.

1778953083076 is a deficient number, since it is larger than the sum of its proper divisors (1675225754243).

1778953083076 is an equidigital number, since it uses as much as digits as its factorization.

1778953083076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 64.

Multiplying 1778953083076 by its sum of digits (64), we get a square (113852997316864 = 106701922).

The spelling of 1778953083076 in words is "one trillion, seven hundred seventy-eight billion, nine hundred fifty-three million, eighty-three thousand, seventy-six".

Divisors: 1 2 4 13 26 43 52 86 169 172 338 559 676 1118 1193 1849 2236 2386 3698 4772 7267 7396 14534 15509 24037 29068 31018 48074 51299 62036 96148 102598 201617 205196 312481 403234 624962 666887 806468 1249924 1333774 1423249 2205857 2667548 2846498 4411714 5692996 8669531 8823428 17339062 18502237 28676141 34678124 37004474 57352282 61199707 74008948 114704564 122399414 240529081 244798828 372789833 481058162 745579666 795596191 962116324 1491159332 1591192382 2631587401 3182384764 5263174802 10342750483 10526349604 20685500966 34210636213 41371001932 68421272426 136842544852 444738270769 889476541538 1778953083076