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10572741400 = 2352132421743
BaseRepresentation
bin10011101100010111…
…10011101100011000
31000021211110220121211
421312023303230120
5133123110211100
64505042312504
7523000550644
oct116613635430
930254426554
1010572741400
114536045111
122070958734
13cc6560b00
14724251c24
1541d2e41ba
hex2762f3b18

10572741400 has 144 divisors (see below), whose sum is σ = 26717106960. Its totient is φ = 3889267200.

The previous prime is 10572741373. The next prime is 10572741433. The reversal of 10572741400 is 414727501.

It is a super-2 number, since 2×105727414002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14229429 + ... + 14230171.

It is an arithmetic number, because the mean of its divisors is an integer number (185535465).

Almost surely, 210572741400 is an apocalyptic number.

10572741400 is a gapful number since it is divisible by the number (10) 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 10572741400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358553480).

10572741400 is an abundant number, since it is smaller than the sum of its proper divisors (16144365560).

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

10572741400 is a wasteful number, since it uses less digits than its factorization.

10572741400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The spelling of 10572741400 in words is "ten billion, five hundred seventy-two million, seven hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 421 520 650 676 743 842 845 1300 1352 1486 1684 1690 2105 2600 2972 3368 3380 3715 4210 4225 5473 5944 6760 7430 8420 8450 9659 10525 10946 14860 16840 16900 18575 19318 21050 21892 27365 29720 33800 37150 38636 42100 43784 48295 54730 71149 74300 77272 84200 96590 109460 125567 136825 142298 148600 193180 218920 241475 251134 273650 284596 312803 355745 386360 482950 502268 547300 569192 625606 627835 711490 965900 1004536 1094600 1251212 1255670 1422980 1564015 1778725 1931800 2502424 2511340 2845960 3128030 3139175 3557450 4066439 5022680 6256060 6278350 7114900 7820075 8132878 12512120 12556700 14229800 15640150 16265756 20332195 25113400 31280300 32531512 40664390 52863707 62560600 81328780 101660975 105727414 162657560 203321950 211454828 264318535 406643900 422909656 528637070 813287800 1057274140 1321592675 2114548280 2643185350 5286370700 10572741400