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394930722960 = 243251021537233
BaseRepresentation
bin1011011111100111011…
…01001001100010010000
31101202101101211102012100
411233303231021202100
522432304231113320
6501232332000400
740350515520444
oct5576355114220
91352341742170
10394930722960
11142542108544
1264659600100
132b31b335027
1415186c2a824
15a41685a790
hex5bf3b49890

394930722960 has 120 divisors (see below), whose sum is σ = 1327610511864. Its totient is φ = 105211514880.

The previous prime is 394930722911. The next prime is 394930722961. The reversal of 394930722960 is 69227039493.

394930722960 is a `hidden beast` number, since 3 + 9 + 49 + 307 + 2 + 296 + 0 = 666.

394930722960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3275043984 + 391655678976 = 57228^2 + 625824^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 394930722897 and 394930722906.

It is not an unprimeable number, because it can be changed into a prime (394930722961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466504 + ... + 1003736.

Almost surely, 2394930722960 is an apocalyptic number.

394930722960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394930722960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663805255932).

394930722960 is an abundant number, since it is smaller than the sum of its proper divisors (932679788904).

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

394930722960 is a wasteful number, since it uses less digits than its factorization.

394930722960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538273 (or 538264 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 394930722960 in words is "three hundred ninety-four billion, nine hundred thirty million, seven hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1021 2042 3063 4084 5105 6126 8168 9189 10210 12252 15315 16336 18378 20420 24504 30630 36756 40840 45945 49008 61260 73512 81680 91890 122520 147024 183780 245040 367560 537233 735120 1074466 1611699 2148932 2686165 3223398 4297864 4835097 5372330 6446796 8058495 8595728 9670194 10744660 12893592 16116990 19340388 21489320 24175485 25787184 32233980 38680776 42978640 48350970 64467960 77361552 96701940 128935920 193403880 386807760 548514893 1097029786 1645544679 2194059572 2742574465 3291089358 4388119144 4936634037 5485148930 6582178716 8227723395 8776238288 9873268074 10970297860 13164357432 16455446790 19746536148 21940595720 24683170185 26328714864 32910893580 39493072296 43881191440 49366340370 65821787160 78986144592 98732680740 131643574320 197465361480 394930722960