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452157776112 = 243723467125287
BaseRepresentation
bin1101001010001101011…
…01000010000011110000
31121020002122121220222110
412211012231002003300
524402004342313422
6543415102205320
744444614453140
oct6450655020360
91536078556873
10452157776112
11164839305599
127376a883840
133383b447863
1417c552dc920
15bb6591960c
hex6946b420f0

452157776112 has 160 divisors (see below), whose sum is σ = 1395976937472. Its totient is φ = 123305478912.

The previous prime is 452157776101. The next prime is 452157776123. The reversal of 452157776112 is 211677751254.

It is an interprime number because it is at equal distance from previous prime (452157776101) and next prime (452157776123).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3546333 + ... + 3671619.

Almost surely, 2452157776112 is an apocalyptic number.

452157776112 is a gapful number since it is divisible by the number (42) 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 452157776112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697988468736).

452157776112 is an abundant number, since it is smaller than the sum of its proper divisors (943819161360).

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

452157776112 is a wasteful number, since it uses less digits than its factorization.

452157776112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125795 (or 125789 counting only the distinct ones).

The product of its digits is 823200, while the sum is 48.

The spelling of 452157776112 in words is "four hundred fifty-two billion, one hundred fifty-seven million, seven hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 467 483 552 644 934 966 1104 1288 1401 1868 1932 2576 2802 3269 3736 3864 5604 6538 7472 7728 9807 10741 11208 13076 19614 21482 22416 26152 32223 39228 42964 52304 64446 75187 78456 85928 125287 128892 150374 156912 171856 225561 250574 257784 300748 375861 451122 501148 515568 601496 751722 877009 902244 1002296 1202992 1503444 1754018 1804488 2004592 2631027 2881601 3006888 3508036 3608976 5262054 5763202 6013776 7016072 8644803 10524108 11526404 14032144 17289606 20171207 21048216 23052808 34579212 40342414 42096432 46105616 58509029 60513621 69158424 80684828 117018058 121027242 138316848 161369656 175527087 234036116 242054484 322739312 351054174 409563203 468072232 484108968 702108348 819126406 936144464 968217936 1228689609 1345707667 1404216696 1638252812 2457379218 2691415334 2808433392 3276505624 4037123001 4914758436 5382830668 6553011248 8074246002 9419953669 9829516872 10765661336 16148492004 18839907338 19659033744 21531322672 28259861007 32296984008 37679814676 56519722014 64593968016 75359629352 113039444028 150719258704 226078888056 452157776112