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128345351004 = 2232131153237851
BaseRepresentation
bin111011110000111111…
…0101010001101011100
3110021021121102100220200
41313201332222031130
54100322402213004
6134543330143500
712162342324543
oct1674176521534
9407247370820
10128345351004
114a481671922
1220a5a721b90
13c1451465a0
1462d782b15a
15351296c239
hex1de1faa35c

128345351004 has 72 divisors (see below), whose sum is σ = 349689058992. Its totient is φ = 39456460800.

The previous prime is 128345350979. The next prime is 128345351077. The reversal of 128345351004 is 400153543821.

128345351004 is a `hidden beast` number, since 12 + 8 + 3 + 4 + 535 + 100 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128345351004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420679 + ... + 658529.

It is an arithmetic number, because the mean of its divisors is an integer number (4856792486).

Almost surely, 2128345351004 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 128345351004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174844529496).

128345351004 is an abundant number, since it is smaller than the sum of its proper divisors (221343707988).

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

128345351004 is a wasteful number, since it uses less digits than its factorization.

128345351004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239027 (or 239022 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 128345351004 its reverse (400153543821), we get a palindrome (528498894825).

The spelling of 128345351004 in words is "one hundred twenty-eight billion, three hundred forty-five million, three hundred fifty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1153 2306 3459 4612 6918 10377 13836 14989 20754 29978 41508 44967 59956 89934 134901 179868 237851 269802 475702 539604 713553 951404 1427106 2140659 2854212 3092063 4281318 6184126 8562636 9276189 12368252 18552378 27828567 37104756 55657134 111314268 274242203 548484406 822726609 1096968812 1645453218 2468179827 3290906436 3565148639 4936359654 7130297278 9872719308 10695445917 14260594556 21390891834 32086337751 42781783668 64172675502 128345351004