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94862768004 = 22347122412
BaseRepresentation
bin101100001011001000…
…0101111011110000100
3100001212011000220210000
41120112100233132010
53023234332034004
6111325050201300
76565534136514
oct1302620573604
9301764026700
1094862768004
113725a617724
1216475423230
138c3a4026b4
14483ca79844
152703226c39
hex161642f784

94862768004 has 135 divisors (see below), whose sum is σ = 252580057653. Its totient is φ = 31046198400.

The previous prime is 94862767963. The next prime is 94862768041. The reversal of 94862768004 is 40086726849.

The square root of 94862768004 is 307998.

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

94862768004 is a `hidden beast` number, since 9 + 4 + 8 + 627 + 6 + 8 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71343478404 + 23519289600 = 267102^2 + 153360^2 .

It is a super-2 number, since 2×948627680042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 393621324 + ... + 393621564.

Almost surely, 294862768004 is an apocalyptic number.

94862768004 is the 307998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94862768004

94862768004 is an abundant number, since it is smaller than the sum of its proper divisors (157717289649).

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

94862768004 is an equidigital number, since it uses as much as digits as its factorization.

94862768004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 94862768004 in words is "ninety-four billion, eight hundred sixty-two million, seven hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 241 284 324 426 482 639 723 852 964 1278 1446 1917 2169 2556 2892 3834 4338 5041 5751 6507 7668 8676 10082 11502 13014 15123 17111 19521 20164 23004 26028 30246 34222 39042 45369 51333 58081 60492 68444 78084 90738 102666 116162 136107 153999 174243 181476 205332 232324 272214 307998 348486 408321 461997 522729 544428 615996 696972 816642 923994 1045458 1214881 1385991 1568187 1633284 1847988 2090916 2429762 2771982 3136374 3644643 4123751 4704561 4859524 5543964 6272748 7289286 8247502 9409122 10933929 12371253 14578572 16495004 18818244 21867858 24742506 32801787 37113759 43735716 49485012 65603574 74227518 98405361 111341277 131207148 148455036 196810722 222682554 292786321 334023831 393621444 445365108 585572642 668047662 878358963 1171145284 1336095324 1756717926 2635076889 3513435852 5270153778 7905230667 10540307556 15810461334 23715692001 31620922668 47431384002 94862768004