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1207957063041 = 3429242112
BaseRepresentation
bin10001100100111111110…
…110100000010110000001
311021110221121022210110000
4101210333312200112001
5124242344002004131
62322532224030213
7153162205423401
oct21447766402601
94243847283400
101207957063041
114263232a8353
1217613a462369
1389ba9c76531
1442673216801
152164d553ce6
hex1193fda0581

1207957063041 has 45 divisors (see below), whose sum is σ = 1869292027603. Its totient is φ = 777350936880.

The previous prime is 1207957063009. The next prime is 1207957063087. The reversal of 1207957063041 is 1403607597021.

The square root of 1207957063041 is 1099071.

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

1207957063041 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 9 + 5 + 7 + 0 + 630 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 633423382641 + 574533680400 = 795879^2 + 757980^2 .

It is not a de Polignac number, because 1207957063041 - 25 = 1207957063009 is a prime.

It is a super-3 number, since 3×12079570630413 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1207957062041) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 286855426 + ... + 286859636.

Almost surely, 21207957063041 is an apocalyptic number.

1207957063041 is the 1099071-st square number.

1207957063041 is the 549536-th centered octagonal number.

It is an amenable number.

1207957063041 is a deficient number, since it is larger than the sum of its proper divisors (661334964562).

1207957063041 is an frugal number, since it uses more digits than its factorization.

1207957063041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8492 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1207957063041 in words is "one trillion, two hundred seven billion, nine hundred fifty-seven million, sixty-three thousand, forty-one".

Divisors: 1 3 9 27 29 81 87 261 783 841 2349 2523 4211 7569 12633 22707 37899 68121 113697 122119 341091 366357 1099071 3297213 3541451 9891639 10624353 17732521 31873059 53197563 95619177 159592689 286857531 478778067 514243109 1436334201 1542729327 4628187981 13884563943 14913050161 41653691829 44739150483 134217451449 402652354347 1207957063041