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59041185989940 = 2235573117394357
BaseRepresentation
bin11010110110010100110001…
…11010110000010100110100
321202001021121202200011100000
431123022120322300110310
530214312322103134230
6325323051342351300
715302404425345000
oct1533123072602464
9252037552604300
1059041185989940
11178a3254322030
1267566b188b530
1326c37382927cb
1410818741c1700
156c5be3ee2b60
hex35b298eb0534

59041185989940 has 1152 divisors, whose sum is σ = 236652369408000. Its totient is φ = 12248885214720.

The previous prime is 59041185989927. The next prime is 59041185989941. The reversal of 59041185989940 is 4998958114095.

It is a happy number.

59041185989940 is a `hidden beast` number, since 5 + 9 + 0 + 411 + 85 + 9 + 8 + 99 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59041185989941) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13550878242 + ... + 13550882598.

It is an arithmetic number, because the mean of its divisors is an integer number (205427404000).

Almost surely, 259041185989940 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 59041185989940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118326184704000).

59041185989940 is an abundant number, since it is smaller than the sum of its proper divisors (177611183418060).

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

59041185989940 is a wasteful number, since it uses less digits than its factorization.

59041185989940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 72.

The spelling of 59041185989940 in words is "fifty-nine trillion, forty-one billion, one hundred eighty-five million, nine hundred eighty-nine thousand, nine hundred forty".