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94442322804736 = 21423233012
BaseRepresentation
bin10101011110010100010001…
…000110100100000000000000
3110101101121010212011120221211
4111132110101012210000000
544334320334114222421
6532510112032255504
725615142541344254
oct2536242106440000
9411347125146854
1094442322804736
11281018451317a5
12a71367a9a1594
134090b467a4b0a
14194706607a264
15adb9dcae09e1
hex55e5111a4000

94442322804736 has 135 divisors (see below), whose sum is σ = 197507888245353. Its totient is φ = 45154384281600.

The previous prime is 94442322804677. The next prime is 94442322804803. The reversal of 94442322804736 is 63740822324449.

The square root of 94442322804736 is 9718144.

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

It can be written as a sum of positive squares in only one way, i.e., 19527066075136 + 74915256729600 = 4418944^2 + 8655360^2 .

It is a Duffinian number.

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, 28610214286 + ... + 28610217586.

Almost surely, 294442322804736 is an apocalyptic number.

94442322804736 is the 9718144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94442322804736

94442322804736 is an abundant number, since it is smaller than the sum of its proper divisors (103065565440617).

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

94442322804736 is an frugal number, since it uses more digits than its factorization.

94442322804736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 58.

The spelling of 94442322804736 in words is "ninety-four trillion, four hundred forty-two billion, three hundred twenty-two million, eight hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1472 2048 2116 2944 3301 4096 4232 5888 6602 8192 8464 11776 13204 16384 16928 23552 26408 33856 47104 52816 67712 75923 94208 105632 135424 151846 188416 211264 270848 303692 376832 422528 541696 607384 845056 1083392 1214768 1690112 1746229 2166784 2429536 3380224 3492458 4333568 4859072 6760448 6984916 8667136 9718144 10896601 13520896 13969832 19436288 21793202 27041792 27939664 38872576 43586404 54083584 55879328 77745152 87172808 111758656 155490304 174345616 223517312 250621823 310980608 348691232 447034624 501243646 621961216 697382464 894069248 1002487292 1243922432 1394764928 1788138496 2004974584 2789529856 3576276992 4009949168 5579059712 5764301929 7152553984 8019898336 11158119424 11528603858 14305107968 16039796672 22316238848 23057207716 28610215936 32079593344 44632477696 46114415432 64159186688 89264955392 92228830864 128318373376 178529910784 184457661728 256636746752 368915323456 513273493504 737830646912 1026546987008 1475661293824 2053093974016 2951322587648 4106187948032 5902645175296 11805290350592 23610580701184 47221161402368 94442322804736