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2530692128000 = 285388389563
BaseRepresentation
bin100100110100111001000…
…000010101110100000000
322221221011021201012201002
4210310321000111310000
5312430324141044000
65214330043031132
7350556624110231
oct44647100256400
98857137635632
102530692128000
11896295805323
1234a56b80b4a8
1315484928b51a
148a6b4007088
1545c683a48d5
hex24d39015d00

2530692128000 has 144 divisors (see below), whose sum is σ = 6311480500416. Its totient is φ = 1011119155200.

The previous prime is 2530692127969. The next prime is 2530692128009. The reversal of 2530692128000 is 8212960352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530692128009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28211219 + ... + 28300781.

Almost surely, 22530692128000 is an apocalyptic number.

2530692128000 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 2530692128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155740250208).

2530692128000 is an abundant number, since it is smaller than the sum of its proper divisors (3780788372416).

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

2530692128000 is an frugal number, since it uses more digits than its factorization.

2530692128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90477 (or 90453 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 2530692128000 in words is "two trillion, five hundred thirty billion, six hundred ninety-two million, one hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 883 1000 1280 1600 1766 2000 3200 3532 4000 4415 6400 7064 8000 8830 14128 16000 17660 22075 28256 32000 35320 44150 56512 70640 88300 89563 110375 113024 141280 176600 179126 220750 226048 282560 353200 358252 441500 447815 565120 706400 716504 883000 895630 1130240 1412800 1433008 1766000 1791260 2239075 2825600 2866016 3532000 3582520 4478150 5651200 5732032 7064000 7165040 8956300 11195375 11464064 14128000 14330080 17912600 22390750 22928128 28256000 28660160 35825200 44781500 57320320 71650400 79084129 89563000 114640640 143300800 158168258 179126000 286601600 316336516 358252000 395420645 573203200 632673032 716504000 790841290 1265346064 1433008000 1581682580 1977103225 2530692128 2866016000 3163365160 3954206450 5061384256 6326730320 7908412900 9885516125 10122768512 12653460640 15816825800 19771032250 20245537024 25306921280 31633651600 39542064500 50613842560 63267303200 79084129000 101227685120 126534606400 158168258000 253069212800 316336516000 506138425600 632673032000 1265346064000 2530692128000