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128213587882356 = 223234711839834857
BaseRepresentation
bin11101001001110000001101…
…010111000111000101110100
3121210222002200101110001202020
4131021300031113013011310
5113301122411444213411
61132404301550313140
736002061142224654
oct3511601527070564
9553862611401666
10128213587882356
1137942093924789
121246879b1b87b0
135670649456b72
1423937dc26a364
15ec51e28b9606
hex749c0d5c7174

128213587882356 has 96 divisors (see below), whose sum is σ = 318841487032320. Its totient is φ = 40006486527744.

The previous prime is 128213587882283. The next prime is 128213587882399. The reversal of 128213587882356 is 653288785312821.

It is a super-2 number, since 2×1282135878823562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153158080 + ... + 153992936.

It is an arithmetic number, because the mean of its divisors is an integer number (3321265489920).

Almost surely, 2128213587882356 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 128213587882356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159420743516160).

128213587882356 is an abundant number, since it is smaller than the sum of its proper divisors (190627899149964).

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

128213587882356 is a wasteful number, since it uses less digits than its factorization.

128213587882356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846773 (or 846771 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 69.

The spelling of 128213587882356 in words is "one hundred twenty-eight trillion, two hundred thirteen billion, five hundred eighty-seven million, eight hundred eighty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 2162 3243 4324 6486 11839 12972 23678 35517 47356 71034 142068 272297 544594 556433 816891 834857 1089188 1112866 1633782 1669299 1669714 2225732 2504571 3267564 3338598 3339428 5009142 6677196 10018284 12797959 19201711 25595918 38393877 38403422 39238279 51191836 57605133 76787754 76806844 78476558 115210266 117714837 153575508 156953116 230420532 235429674 470859348 902480417 1804960834 2707441251 3609921668 5414882502 9883872023 10829765004 19767744046 29651616069 39535488092 59303232138 118606464276 227329056529 454658113058 464541985081 681987169587 909316226116 929083970162 1363974339174 1393625955243 1858167940324 2727948678348 2787251910486 5574503820972 10684465656863 21368931313726 32053396970589 42737862627452 64106793941178 128213587882356