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1486290148225 = 521924123132
BaseRepresentation
bin10101101000001101110…
…010111101101110000001
312021002101010010111200121
4111220031302331232001
5143322410234220400
63054443044020241
7212244440545141
oct25501562755601
95232333114617
101486290148225
1152337204a883
12200077691681
13aa205c6628c
1451d18920921
15289dd97b21a
hex15a0dcbdb81

1486290148225 has 81 divisors (see below), whose sum is σ = 2000093743899. Its totient is φ = 1095465945600.

The previous prime is 1486290148223. The next prime is 1486290148243. The reversal of 1486290148225 is 5228410926841.

The square root of 1486290148225 is 1219135.

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

It can be written as a sum of positive squares in 13 ways, for example, as 976031371249 + 510258776976 = 987943^2 + 714324^2 .

It is not a de Polignac number, because 1486290148225 - 21 = 1486290148223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1486290148223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4748530669 + ... + 4748530981.

Almost surely, 21486290148225 is an apocalyptic number.

1486290148225 is the 1219135-th square number.

1486290148225 is the 609568-th centered octagonal number.

It is an amenable number.

1486290148225 is a deficient number, since it is larger than the sum of its proper divisors (513803595674).

1486290148225 is an frugal number, since it uses more digits than its factorization.

1486290148225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 1486290148225 in words is "one trillion, four hundred eighty-six billion, two hundred ninety million, one hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 19 25 41 95 205 313 361 475 779 1025 1565 1681 1805 3895 5947 7825 8405 9025 12833 14801 19475 29735 31939 42025 64165 74005 97969 112993 148675 159695 243827 320825 370025 489845 526153 564965 606841 798475 1219135 1861411 2449225 2630765 2824825 3034205 4016729 4632713 6095675 9307055 9996907 13153825 15171025 20083645 23163565 35366809 46535275 49984535 76317851 100418225 115817825 164685889 176834045 189941233 249922675 381589255 823429445 884170225 949706165 1450039169 1907946275 3129031891 4117147225 4748530825 7250195845 15645159455 36250979225 59451605929 78225797275 297258029645 1486290148225