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11239399296 = 2735361349
BaseRepresentation
bin10100111011110101…
…11001111110000000
31002000021220122100000
422131322321332000
5141004241234141
65055135200000
7545344213656
oct123572717600
932007818300
1011239399296
114848391054
122218076000
1310a16c7c38
147889cadd6
1545bacc5b6
hex29deb9f80

11239399296 has 96 divisors (see below), whose sum is σ = 33540507000. Its totient is φ = 3746456064.

The previous prime is 11239399279. The next prime is 11239399337. The reversal of 11239399296 is 69299393211.

11239399296 is a `hidden beast` number, since 11 + 239 + 399 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 149571 + ... + 211778.

Almost surely, 211239399296 is an apocalyptic number.

11239399296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11239399296 is an abundant number, since it is smaller than the sum of its proper divisors (22301107704).

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

11239399296 is an frugal number, since it uses more digits than its factorization.

11239399296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361378 (or 361354 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The spelling of 11239399296 in words is "eleven billion, two hundred thirty-nine million, three hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 361349 722698 1084047 1445396 2168094 2890792 3252141 4336188 5781584 6504282 8672376 9756423 11563168 13008564 17344752 19512846 23126336 26017128 29269269 34689504 39025692 46252672 52034256 58538538 69379008 78051384 87807807 104068512 117077076 138758016 156102768 175615614 208137024 234154152 312205536 351231228 416274048 468308304 624411072 702462456 936616608 1248822144 1404924912 1873233216 2809849824 3746466432 5619699648 11239399296