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11942231328 = 253326951383
BaseRepresentation
bin10110001111100111…
…11111110100100000
31010211021102012122000
423013303333310200
5143424202400303
65253003244000
7601640201646
oct130763776440
933737365560
1011942231328
115079095175
122393519600
1311841b9391
148140a1196
1549d65dda3
hex2c7cffd20

11942231328 has 96 divisors (see below), whose sum is σ = 34961673600. Its totient is φ = 3965868288.

The previous prime is 11942231321. The next prime is 11942231341. The reversal of 11942231328 is 82313224911.

11942231328 is a `hidden beast` number, since 11 + 94 + 2 + 231 + 328 = 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 (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 11942231292 and 11942231301.

It is not an unprimeable number, because it can be changed into a prime (11942231321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206725 + ... + 258107.

It is an arithmetic number, because the mean of its divisors is an integer number (364184100).

Almost surely, 211942231328 is an apocalyptic number.

11942231328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11942231328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17480836800).

11942231328 is an abundant number, since it is smaller than the sum of its proper divisors (23019442272).

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

11942231328 is a wasteful number, since it uses less digits than its factorization.

11942231328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51671 (or 51657 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 11942231328 in words is "eleven billion, nine hundred forty-two million, two hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 269 288 432 538 807 864 1076 1614 2152 2421 3228 4304 4842 6456 7263 8608 9684 12912 14526 19368 25824 29052 38736 51383 58104 77472 102766 116208 154149 205532 232416 308298 411064 462447 616596 822128 924894 1233192 1387341 1644256 1849788 2466384 2774682 3699576 4932768 5549364 7399152 11098728 13822027 14798304 22197456 27644054 41466081 44394912 55288108 82932162 110576216 124398243 165864324 221152432 248796486 331728648 373194729 442304864 497592972 663457296 746389458 995185944 1326914592 1492778916 1990371888 2985557832 3980743776 5971115664 11942231328