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11858092416 = 273317201833
BaseRepresentation
bin10110000101100110…
…00010000110000000
31010121102002111202000
423002303002012000
5143241132424131
65240400024000
7566566060002
oct130263020600
933542074660
1011858092416
115035647385
12236b302000
13116c93a141
14806c3c372
1549608dce6
hex2c2cc2180

11858092416 has 128 divisors (see below), whose sum is σ = 37056722400. Its totient is φ = 3720167424.

The previous prime is 11858092387. The next prime is 11858092439. The reversal of 11858092416 is 61429085811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×118580924162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42165 + ... + 159668.

Almost surely, 211858092416 is an apocalyptic number.

11858092416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11858092416 is an abundant number, since it is smaller than the sum of its proper divisors (25198629984).

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

11858092416 is a wasteful number, since it uses less digits than its factorization.

11858092416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201873 (or 201855 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11858092416 in words is "eleven billion, eight hundred fifty-eight million, ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 201833 403666 605499 807332 1210998 1614664 1816497 2421996 3229328 3431161 3632994 4843992 5449491 6458656 6862322 7265988 9687984 10293483 10898982 12917312 13724644 14531976 19375968 20586966 21797964 25834624 27449288 29063952 30880449 38751936 41173932 43595928 54898576 58127904 61760898 77503872 82347864 87191856 92641347 109797152 116255808 123521796 164695728 174383712 185282694 219594304 232511616 247043592 329391456 348767424 370565388 439188608 494087184 658782912 697534848 741130776 988174368 1317565824 1482261552 1976348736 2964523104 3952697472 5929046208 11858092416