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89870446656 = 2632124912
BaseRepresentation
bin101001110110010110…
…0100011000001000000
322120222020002201100100
41103230230203001000
52433023313243111
6105141431322400
76331034123004
oct1235454430100
9276866081310
1089870446656
1135128584811
1215501520400
138623031bb3
1444c7a16704
15250ecda756
hex14ecb23040

89870446656 has 63 divisors (see below), whose sum is σ = 257618033023. Its totient is φ = 29954417280.

The previous prime is 89870446649. The next prime is 89870446663. The reversal of 89870446656 is 65664407898.

The square root of 89870446656 is 299784.

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

It is an interprime number because it is at equal distance from previous prime (89870446649) and next prime (89870446663).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 89870446593 and 89870446602.

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, 7188571 + ... + 7201061.

Almost surely, 289870446656 is an apocalyptic number.

89870446656 is the 299784-th square number.

It is an amenable number.

89870446656 is an abundant number, since it is smaller than the sum of its proper divisors (167747586367).

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

89870446656 is an frugal number, since it uses more digits than its factorization.

89870446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25000 (or 12496 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

It can be divided in two parts, 898704 and 46656, that multiplied together give a square (41929933824 = 2047682).

The spelling of 89870446656 in words is "eighty-nine billion, eight hundred seventy million, four hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 12491 24982 37473 49964 74946 99928 112419 149892 199856 224838 299784 399712 449676 599568 799424 899352 1199136 1798704 2398272 3597408 7194816 156025081 312050162 468075243 624100324 936150486 1248200648 1404225729 1872300972 2496401296 2808451458 3744601944 4992802592 5616902916 7489203888 9985605184 11233805832 14978407776 22467611664 29956815552 44935223328 89870446656