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153412375356012 = 223293137477188369
BaseRepresentation
bin100010111000011100011010…
…001000110010001001101100
3202010012002011012201122212110
4202320130122020302021230
5130102002021042343022
61302140401114404020
744212451450536563
oct4270343210621154
9663162135648773
10153412375356012
1144977906488493
121525841a130610
13677a9568620c6
1429c52accc0bda
1512b091bc3400c
hex8b871a23226c

153412375356012 has 96 divisors (see below), whose sum is σ = 371540475633600. Its totient is φ = 49209509486592.

The previous prime is 153412375355957. The next prime is 153412375356013. The reversal of 153412375356012 is 210653573214351.

153412375356012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (153412375356013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814330564 + ... + 814518932.

It is an arithmetic number, because the mean of its divisors is an integer number (3870213287850).

Almost surely, 2153412375356012 is an apocalyptic number.

153412375356012 is a gapful number since it is divisible by the number (12) 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 153412375356012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185770237816800).

153412375356012 is an abundant number, since it is smaller than the sum of its proper divisors (218128100277588).

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

153412375356012 is a wasteful number, since it uses less digits than its factorization.

153412375356012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196195 (or 196193 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 153412375356012 in words is "one hundred fifty-three trillion, four hundred twelve billion, three hundred seventy-five million, three hundred fifty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 313 348 626 939 1252 1878 3756 7477 9077 14954 18154 22431 27231 29908 36308 44862 54462 89724 108924 188369 216833 376738 433666 565107 650499 753476 867332 1130214 1300998 2260428 2340301 2601996 4680602 5462701 7020903 9361204 10925402 14041806 16388103 21850804 28083612 32776206 58959497 65552412 67868729 117918994 135737458 176878491 203606187 235837988 271474916 353756982 407212374 707513964 814424748 1408435013 1709825413 2816870026 3419650826 4225305039 5129476239 5633740052 6839301652 8450610078 10258952478 16901220156 20517904956 40844615377 81689230754 122533846131 163378461508 245067692262 440840159069 490135384524 881680318138 1322520477207 1763360636276 2645040954414 5290081908828 12784364613001 25568729226002 38353093839003 51137458452004 76706187678006 153412375356012