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1201470285456 = 243272130492
BaseRepresentation
bin10001011110111101001…
…101011010011010010000
311020212012112022100110100
4101132331031122122100
5124141102343113311
62315540421532400
7152542360631400
oct21367515323220
94225175270410
101201470285456
114235a4721341
12174a29b74100
13893b50a4bbc
14422198d4800
15213bdd15a56
hex117bd35a690

1201470285456 has 135 divisors (see below), whose sum is σ = 3911718978921. Its totient is φ = 343250917632.

The previous prime is 1201470285443. The next prime is 1201470285469. The reversal of 1201470285456 is 6545820741021.

The square root of 1201470285456 is 1096116.

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

1201470285456 is a `hidden beast` number, since 1 + 2 + 0 + 14 + 70 + 28 + 545 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1201470285443) and next prime (1201470285469).

It can be written as a sum of positive squares in only one way, i.e., 684451763856 + 517018521600 = 827316^2 + 719040^2 .

It is a super-3 number, since 3×12014702854563 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92067220 + ... + 92080268.

Almost surely, 21201470285456 is an apocalyptic number.

1201470285456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1201470285456 is the 1096116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201470285456

1201470285456 is an abundant number, since it is smaller than the sum of its proper divisors (2710248693465).

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

1201470285456 is an frugal number, since it uses more digits than its factorization.

1201470285456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26126 (or 13061 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1201470285456 in words is "one trillion, two hundred one billion, four hundred seventy million, two hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 13049 26098 39147 52196 78294 91343 104392 117441 156588 182686 208784 234882 274029 313176 365372 469764 548058 626352 639401 730744 822087 939528 1096116 1278802 1461488 1644174 1879056 1918203 2192232 2557604 3288348 3836406 4384464 5115208 5754609 6576696 7672812 10230416 11509218 13153392 15345624 23018436 30691248 46036872 92073744 170276401 340552802 510829203 681105604 1021658406 1191934807 1362211208 1532487609 2043316812 2383869614 2724422416 3064975218 3575804421 4086633624 4767739228 6129950436 7151608842 8173267248 8343543649 9535478456 10727413263 12259900872 14303217684 16687087298 19070956912 21454826526 24519801744 25030630947 28606435368 33374174596 42909653052 50061261894 57212870736 66748349192 75091892841 85819306104 100122523788 133496698384 150183785682 171638612208 200245047576 300367571364 400490095152 600735142728 1201470285456