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1672221404736 = 2632538812
BaseRepresentation
bin11000010101011000001…
…010011010111001000000
312220212021222120222021100
4120111120022122321000
5204344202134422421
63320112524054400
7231546130262241
oct30253012327100
95825258528240
101672221404736
1159520442a843
12230107694400
13c18c765795c
145ad16352cc8
152d771c3dc26
hex1855829ae40

1672221404736 has 63 divisors (see below), whose sum is σ = 4793209686993. Its totient is φ = 557396789760.

The previous prime is 1672221404723. The next prime is 1672221404747. The reversal of 1672221404736 is 6374041222761.

The square root of 1672221404736 is 1293144.

It is a perfect power (a square), and thus also a powerful number.

1672221404736 is a `hidden beast` number, since 16 + 7 + 2 + 22 + 140 + 473 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 895566966336 + 776654438400 = 946344^2 + 881280^2 .

It is a super-2 number, since 2×16722214047362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1672221404691 and 1672221404700.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31008516 + ... + 31062396.

Almost surely, 21672221404736 is an apocalyptic number.

1672221404736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1672221404736 is the 1293144-th square number.

It is an amenable number.

1672221404736 is an abundant number, since it is smaller than the sum of its proper divisors (3120988282257).

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

1672221404736 is an frugal number, since it uses more digits than its factorization.

1672221404736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107780 (or 53886 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1672221404736 in words is "one trillion, six hundred seventy-two billion, two hundred twenty-one million, four hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 53881 107762 161643 215524 323286 431048 484929 646572 862096 969858 1293144 1724192 1939716 2586288 3448384 3879432 5172576 7758864 10345152 15517728 31035456 2903162161 5806324322 8709486483 11612648644 17418972966 23225297288 26128459449 34837945932 46450594576 52256918898 69675891864 92901189152 104513837796 139351783728 185802378304 209027675592 278703567456 418055351184 557407134912 836110702368 1672221404736