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1047765148816 = 24172150532
BaseRepresentation
bin11110011111100111010…
…10110110010010010000
310201011110112222101121211
433033303222312102100
5114131310334230231
62121200415225504
7135461411550451
oct17176352662220
93634415871554
101047765148816
1137439a1251a1
1214b092518294
1377a5b023ac9
14389d8027128
151c3c4d07eb1
hexf3f3ab6490

1047765148816 has 45 divisors (see below), whose sum is σ = 2156627032171. Its totient is φ = 493033197056.

The previous prime is 1047765148811. The next prime is 1047765148847. The reversal of 1047765148816 is 6188415677401.

The square root of 1047765148816 is 1023604.

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 610579708816 + 437185440000 = 781396^2 + 661200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1047765148811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69597546 + ... + 69612598.

Almost surely, 21047765148816 is an apocalyptic number.

1047765148816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1047765148816 is the 1023604-th square number.

It is an amenable number.

1047765148816 is an abundant number, since it is smaller than the sum of its proper divisors (1108861883355).

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

1047765148816 is an frugal number, since it uses more digits than its factorization.

1047765148816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30148 (or 15072 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 58.

The spelling of 1047765148816 in words is "one trillion, forty-seven billion, seven hundred sixty-five million, one hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 15053 30106 60212 120424 240848 255901 511802 1023604 2047208 4094416 4350317 8700634 17401268 34802536 69605072 226592809 453185618 906371236 1812742472 3625484944 3852077753 7704155506 15408311012 30816622024 61633244048 65485321801 130970643602 261941287204 523882574408 1047765148816