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4159992004 = 22721722712
BaseRepresentation
bin1111011111110100…
…0111000011000100
3101201220202111012221
43313331013003010
532004424221004
61524443022124
7205042230400
oct36775070304
911656674187
104159992004
111845230623
1298120a944
13513b0b63c
142b66c0100
1519532a354
hexf7f470c4

4159992004 has 81 divisors (see below), whose sum is σ = 9029326509. Its totient is φ = 1671788160.

The previous prime is 4159991977. The next prime is 4159992049. The reversal of 4159992004 is 4002999514.

The square root of 4159992004 is 64498.

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., 3238748100 + 921243904 = 56910^2 + 30352^2 .

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, 15350389 + ... + 15350659.

Almost surely, 24159992004 is an apocalyptic number.

4159992004 is the 64498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4159992004

4159992004 is an abundant number, since it is smaller than the sum of its proper divisors (4869334505).

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

4159992004 is a wasteful number, since it uses less digits than its factorization.

4159992004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The cubic root of 4159992004 is about 1608.2892729951.

The spelling of 4159992004 in words is "four billion, one hundred fifty-nine million, nine hundred ninety-two thousand, four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 271 289 476 542 578 833 1084 1156 1666 1897 2023 3332 3794 4046 4607 7588 8092 9214 13279 14161 18428 26558 28322 32249 53116 56644 64498 73441 78319 128996 146882 156638 225743 293764 313276 451486 514087 548233 902972 1028174 1096466 1248497 2056348 2192932 2496994 3598609 3837631 4993988 7197218 7675262 8739479 14394436 15350524 17478958 21224449 34957916 42448898 61176353 84897796 122352706 148571143 244705412 297142286 594284572 1039998001 2079996002 4159992004