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373384546704 = 243213239172
BaseRepresentation
bin1010110111011110111…
…01000000100110010000
31022200202210220020212100
411123233131000212100
522104142420443304
6443310330400400
735655550165161
oct5335735004620
91280683806770
10373384546704
1113439592a404
1260445890100
132929651b300
1414101461768
159aa4ec3439
hex56ef740990

373384546704 has 135 divisors (see below), whose sum is σ = 1131811669443. Its totient is φ = 114858222336.

The previous prime is 373384546699. The next prime is 373384546729. The reversal of 373384546704 is 407645483373.

The square root of 373384546704 is 611052.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1186940304 + 372197606400 = 34452^2 + 610080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95322154 + ... + 95326070.

Almost surely, 2373384546704 is an apocalyptic number.

373384546704 is the 611052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 373384546704

373384546704 is an abundant number, since it is smaller than the sum of its proper divisors (758427122739).

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

373384546704 is an equidigital number, since it uses as much as digits as its factorization.

373384546704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 373384546704 in words is "three hundred seventy-three billion, three hundred eighty-four million, five hundred forty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 3917 4056 6084 7834 8112 11751 12168 15668 23502 24336 31336 35253 47004 50921 62672 70506 94008 101842 141012 152763 188016 203684 282024 305526 407368 458289 564048 611052 661973 814736 916578 1222104 1323946 1833156 1985919 2444208 2647892 3666312 3971838 5295784 5957757 7332624 7943676 10591568 11915514 15342889 15887352 23831028 30685778 31774704 46028667 47662056 61371556 92057334 95324112 122743112 138086001 184114668 199457557 245486224 276172002 368229336 398915114 552344004 598372671 736458672 797830228 1104688008 1196745342 1595660456 1795118013 2209376016 2393490684 2592948241 3191320912 3590236026 4786981368 5185896482 7180472052 7778844723 9573962736 10371792964 14360944104 15557689446 20743585928 23336534169 28721888208 31115378892 41487171856 46673068338 62230757784 93346136676 124461515568 186692273352 373384546704