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1069790970249 = 3441228032
BaseRepresentation
bin11111001000101001000…
…00101100000110001001
310210021022120110001110000
433210110200230012021
5120011412442021444
62135242153113213
7140201263132341
oct17442440540611
93707276401400
101069790970249
11382772127901
121533ba9b8809
1379b5b316b41
1439ac73a9d21
151cc63837469
hexf91482c189

1069790970249 has 45 divisors (see below), whose sum is σ = 1638595697079. Its totient is φ = 695550771360.

The previous prime is 1069790970221. The next prime is 1069790970277. The reversal of 1069790970249 is 9420790979601.

The square root of 1069790970249 is 1034307.

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

It is an interprime number because it is at equal distance from previous prime (1069790970221) and next prime (1069790970277).

It can be written as a sum of positive squares in only one way, i.e., 51548523849 + 1018242446400 = 227043^2 + 1009080^2 .

It is not a de Polignac number, because 1069790970249 - 219 = 1069790445961 is a prime.

It is a super-2 number, since 2×10697909702492 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1069790970289) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 381657882 + ... + 381660684.

Almost surely, 21069790970249 is an apocalyptic number.

1069790970249 is the 1034307-th square number.

1069790970249 is the 517154-th centered octagonal number.

It is an amenable number.

1069790970249 is a deficient number, since it is larger than the sum of its proper divisors (568804726830).

1069790970249 is an frugal number, since it uses more digits than its factorization.

1069790970249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 1069790970249 in words is "one trillion, sixty-nine billion, seven hundred ninety million, nine hundred seventy thousand, two hundred forty-nine".

Divisors: 1 3 9 27 41 81 123 369 1107 1681 2803 3321 5043 8409 15129 25227 45387 75681 114923 136161 227043 344769 1034307 3102921 4711843 7856809 9308763 14135529 23570427 42406587 70711281 127219761 212133843 322129169 381659283 636401529 966387507 2899162521 8697487563 13207295929 26092462689 39621887787 118865663361 356596990083 1069790970249