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94004736924816 = 2432232351292
BaseRepresentation
bin10101010111111100101110…
…111100111001110010010000
3110022211202122202010200122100
4111113330232330321302100
544310133200123043231
6531533102512240400
725541422004625354
oct2527745674716220
9408752582120570
1094004736924816
1127a53204328523
12a6628b8240100
13405b7bb2a4b53
14192dbd41a3464
15ad042b6251e6
hex557f2ef39c90

94004736924816 has 135 divisors (see below), whose sum is σ = 275026229403289. Its totient is φ = 29971671603456.

The previous prime is 94004736924803. The next prime is 94004736924827. The reversal of 94004736924816 is 61842963740049.

It is a happy number.

The square root of 94004736924816 is 9695604.

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

94004736924816 is a `hidden beast` number, since 9 + 4 + 0 + 0 + 473 + 69 + 24 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5737960323216 + 88266776601600 = 2395404^2 + 9395040^2 .

It is a Duffinian number.

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, 2675969140 + ... + 2676004268.

Almost surely, 294004736924816 is an apocalyptic number.

94004736924816 is the 9695604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94004736924816

94004736924816 is an abundant number, since it is smaller than the sum of its proper divisors (181021492478473).

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

94004736924816 is an frugal number, since it uses more digits than its factorization.

94004736924816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70318 (or 35157 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 94004736924816 in words is "ninety-four trillion, four billion, seven hundred thirty-six million, nine hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 529 552 828 1058 1104 1587 1656 2116 3174 3312 4232 4761 6348 8464 9522 12696 19044 25392 35129 38088 70258 76176 105387 140516 210774 281032 316161 421548 562064 632322 807967 843096 1264644 1615934 1686192 2423901 2529288 3231868 4847802 5058576 6463736 7271703 9695604 12927472 14543406 18583241 19391208 29086812 37166482 38782416 55749723 58173624 74332964 111499446 116347248 148665928 167249169 222998892 297331856 334498338 445997784 668996676 891995568 1234046641 1337993352 2468093282 2675986704 3702139923 4936186564 7404279846 9872373128 11106419769 14808559692 19744746256 22212839538 28383072743 29617119384 44425679076 56766145486 59234238768 85149218229 88851358152 113532290972 170298436458 177702716304 227064581944 255447654687 340596872916 454129163888 510895309374 652810673089 681193745832 1021790618748 1305621346178 1362387491664 1958432019267 2043581237496 2611242692356 3916864038534 4087162474992 5222485384712 5875296057801 7833728077068 10444970769424 11750592115602 15667456154136 23501184231204 31334912308272 47002368462408 94004736924816