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233125706412 = 223261257413071
BaseRepresentation
bin1101100100011101011…
…1111111101010101100
3211021201221010220222200
43121013113333222230
512304420140101122
6255032500541500
722562033544354
oct3310727775254
9737657126880
10233125706412
118a960424775
12392213b1890
1318ca313cba1
14b3d76d5b64
1560e66c35ac
hex36475ffaac

233125706412 has 72 divisors (see below), whose sum is σ = 601282473792. Its totient is φ = 76137062400.

The previous prime is 233125706353. The next prime is 233125706413. The reversal of 233125706412 is 214607521332.

233125706412 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 2 + 5 + 7 + 0 + 641 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (233125706413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357837 + ... + 770907.

Almost surely, 2233125706412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233125706412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300641236896).

233125706412 is an abundant number, since it is smaller than the sum of its proper divisors (368156767380).

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

233125706412 is a wasteful number, since it uses less digits than its factorization.

233125706412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413399 (or 413394 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 233125706412 in words is "two hundred thirty-three billion, one hundred twenty-five million, seven hundred six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 257 366 514 549 732 771 1028 1098 1542 2196 2313 3084 4626 9252 15677 31354 47031 62708 94062 141093 188124 282186 413071 564372 826142 1239213 1652284 2478426 3717639 4956852 7435278 14870556 25197331 50394662 75591993 100789324 106159247 151183986 212318494 226775979 302367972 318477741 424636988 453551958 636955482 907103916 955433223 1273910964 1910866446 3821732892 6475714067 12951428134 19427142201 25902856268 38854284402 58281426603 77708568804 116562853206 233125706412