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28640422609920 = 2103551121719231
BaseRepresentation
bin1101000001100010111100…
…01101110100010000000000
310202101222221021222022100000
412200301132031310100000
512223221041142004140
6140525121205200000
76014126241300642
oct640613615642000
9122358837868300
1028640422609920
1191423759aaa00
123266857700000
1312c9a1b314594
147102bd51a892
1534a00a7cda30
hex1a0c5e374400

28640422609920 has 4752 divisors, whose sum is σ = 130487700155904. Its totient is φ = 5991078297600.

The previous prime is 28640422609919. The next prime is 28640422609921. The reversal of 28640422609920 is 2990622404682.

28640422609920 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 0 + 4 + 2 + 2 + 609 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (28640422609919) and next prime (28640422609921).

It is a tau number, because it is divible by the number of its divisors (4752).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28640422609921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 923884600305 + ... + 923884600335.

Almost surely, 228640422609920 is an apocalyptic number.

28640422609920 is a gapful number since it is divisible by the number (20) 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 28640422609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65243850077952).

28640422609920 is an abundant number, since it is smaller than the sum of its proper divisors (101847277545984).

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

28640422609920 is a wasteful number, since it uses less digits than its factorization.

28640422609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 28640422609920 in words is "twenty-eight trillion, six hundred forty billion, four hundred twenty-two million, six hundred nine thousand, nine hundred twenty".