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1076161413924 = 223241242172
BaseRepresentation
bin11111010100100000011…
…10000000001100100100
310210212202112120010022100
433222100032000030210
5120112434310221144
62142214241532100
7140515166042412
oct17522016001444
93725675503270
101076161413924
11385441076493
12154698344030
137a63507613c
143a12d4882b2
151ced7c46269
hexfa90380324

1076161413924 has 81 divisors (see below), whose sum is σ = 2788925226451. Its totient is φ = 349888200960.

The previous prime is 1076161413919. The next prime is 1076161413959. The reversal of 1076161413924 is 4293141616701.

The square root of 1076161413924 is 1037382.

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

1076161413924 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 1 + 614 + 1 + 3 + 9 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15195492900 + 1060965921024 = 123270^2 + 1030032^2 .

It is a super-2 number, since 2×10761614139242 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1076161413924.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 255193864 + ... + 255198080.

Almost surely, 21076161413924 is an apocalyptic number.

1076161413924 is the 1037382-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076161413924

1076161413924 is an abundant number, since it is smaller than the sum of its proper divisors (1712763812527).

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

1076161413924 is an frugal number, since it uses more digits than its factorization.

1076161413924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1076161413924 in words is "one trillion, seventy-six billion, one hundred sixty-one million, four hundred thirteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 4217 5043 6724 8434 10086 12651 15129 16868 20172 25302 30258 37953 50604 60516 75906 151812 172897 345794 518691 691588 1037382 1556073 2074764 3112146 6224292 7088777 14177554 17783089 21266331 28355108 35566178 42532662 53349267 63798993 71132356 85065324 106698534 127597986 160047801 213397068 255195972 320095602 640191204 729106649 1458213298 2187319947 2916426596 4374639894 6561959841 8749279788 13123919682 26247839364 29893372609 59786745218 89680117827 119573490436 179360235654 269040353481 358720471308 538080706962 1076161413924