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128435701540664 = 23751489641521
BaseRepresentation
bin11101001100111111000100…
…010111011110011100111000
3121211202022222212110222121102
4131030333010113132130320
5113313242304043300124
61133054314033030532
736024113262200000
oct3514770427363470
9554668885428542
10128435701540664
1137a18303231751
12124a38486b5448
13568858601154b
1423a046d237000
15ecad9241daae
hex74cfc45de738

128435701540664 has 96 divisors (see below), whose sum is σ = 281139831453600. Its totient is φ = 55006819338240.

The previous prime is 128435701540651. The next prime is 128435701540733. The reversal of 128435701540664 is 466045107534821.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 199884224 + ... + 200525744.

It is an arithmetic number, because the mean of its divisors is an integer number (2928539910975).

Almost surely, 2128435701540664 is an apocalyptic number.

128435701540664 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 128435701540664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140569915726800).

128435701540664 is an abundant number, since it is smaller than the sum of its proper divisors (152704129912936).

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

128435701540664 is an frugal number, since it uses more digits than its factorization.

128435701540664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643051 (or 643019 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 128435701540664 in words is "one hundred twenty-eight trillion, four hundred thirty-five billion, seven hundred one million, five hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 1489 2401 2744 2978 4802 5956 9604 10423 11912 16807 19208 20846 33614 41692 67228 72961 83384 134456 145922 291844 510727 583688 641521 1021454 1283042 2042908 2566084 3575089 4085816 4490647 5132168 7150178 8981294 14300356 17962588 25025623 28600712 31434529 35925176 50051246 62869058 100102492 125738116 200204984 220041703 251476232 440083406 880166812 955224769 1540291921 1760333624 1910449538 3080583842 3820899076 6161167684 6686573383 7641798152 10782043447 12322335368 13373146766 21564086894 26746293532 43128173788 46806013681 53492587064 86256347576 93612027362 187224054724 327642095767 374448109448 655284191534 1310568383068 2293494670369 2621136766136 4586989340738 9173978681476 16054462692583 18347957362952 32108925385166 64217850770332 128435701540664