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132570907628544 = 210337111719273139
BaseRepresentation
bin11110001001001010010001…
…110110110101010000000000
3122101101122200111021121011000
4132021022101312311100000
5114334020204323103134
61145542122330452000
736631634451036210
oct3611122166652000
9571348614247130
10132570907628544
1139272008270310
1212a51168894000
1358c84c9449678
1424a467522c240
15104d718301e99
hex789291db5400

132570907628544 has 4224 divisors, whose sum is σ = 558478300262400. Its totient is φ = 30064320184320.

The previous prime is 132570907628503. The next prime is 132570907628557. The reversal of 132570907628544 is 445826709075231.

It is a happy number.

132570907628544 is a `hidden beast` number, since 1 + 3 + 2 + 570 + 9 + 0 + 7 + 6 + 2 + 8 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 953747536827 + ... + 953747536965.

It is a 1-persistent number, because it is pandigital, but 2⋅132570907628544 = 265141815257088 is not.

Almost surely, 2132570907628544 is an apocalyptic number.

132570907628544 is a gapful number since it is divisible by the number (14) 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 132570907628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279239150131200).

132570907628544 is an abundant number, since it is smaller than the sum of its proper divisors (425907392633856).

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

132570907628544 is a wasteful number, since it uses less digits than its factorization.

132570907628544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 132570907628544 in words is "one hundred thirty-two trillion, five hundred seventy billion, nine hundred seven million, six hundred twenty-eight thousand, five hundred forty-four".