Search a number
-
+
1158068690496 = 2632448392
BaseRepresentation
bin10000110110100010010…
…001011101111001000000
311002201011210112212220100
4100312202101131321000
5122433211041043441
62244002011042400
7146445010311204
oct20664221357100
94081153485810
101158068690496
114071526486a3
12168536a40400
138528938b873
144009d662b04
15201cd8adcb6
hex10da245de40

1158068690496 has 63 divisors (see below), whose sum is σ = 3319468836411. Its totient is φ = 386014287744.

The previous prime is 1158068690479. The next prime is 1158068690521. The reversal of 1158068690496 is 6940968608511.

The square root of 1158068690496 is 1076136.

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

1158068690496 is a `hidden beast` number, since 1 + 1 + 5 + 80 + 6 + 8 + 69 + 0 + 496 = 666.

It is a super-4 number, since 4×11580686904964 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25804845 + ... + 25849683.

Almost surely, 21158068690496 is an apocalyptic number.

1158068690496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1158068690496 is the 1076136-th square number.

It is an amenable number.

1158068690496 is an abundant number, since it is smaller than the sum of its proper divisors (2161400145915).

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

1158068690496 is an frugal number, since it uses more digits than its factorization.

1158068690496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89696 (or 44844 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 1158068690496 in words is "one trillion, one hundred fifty-eight billion, sixty-eight million, six hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 44839 89678 134517 179356 269034 358712 403551 538068 717424 807102 1076136 1434848 1614204 2152272 2869696 3228408 4304544 6456816 8609088 12913632 25827264 2010535921 4021071842 6031607763 8042143684 12063215526 16084287368 18094823289 24126431052 32168574736 36189646578 48252862104 64337149472 72379293156 96505724208 128674298944 144758586312 193011448416 289517172624 386022896832 579034345248 1158068690496